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Topic: Bandlimited

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	Theory of Ideal Bandlimited Interpolation
		The deviation from unity between samples can be thought of as ``overshoot'' or ``ringing'' of the lowpass filter which cuts off at half the sampling rate, or it can be considered a ``Gibbs phenomenon'' associated with bandlimiting.
		Figure 2: Bandlimited reconstruction of the signal The dots show the signal samples, the dashed lines show the component sinc functions, and the solid line shows the unique bandlimited reconstruction from the samples obtained by summing the component sinc functions.
		The practical bandlimited interpolation algorithm presented below is based on the second interpretation.
	www-ccrma.stanford.edu /~jos/resample/Theory_Ideal_Bandlimited_Interpolation.html (555 words)

	Bandlimited
		A bandlimited signal is a deterministic or stochastic signal (e.g., function of time) whose Fourier transform, or power spectrum are zero after a certain frequency.
		This result is known as the sampling theorem, and usually attributed to Nyquist or Shannon and referred to as Nyquist-Shannon Sampling Theorem.
		An example of a simple deterministic bandlimited signal is a sinusoid of the form.
	publicliterature.org /en/wikipedia/b/ba/bandlimited.html (166 words)

	Bandlimited Synthesis (Site not responding. Last check: 2007-10-28)
		To avoid aliasing in a digital synthesis context, it is necessary to determine bandlimited approximations for such signals such that their spectral content does not exceed half the sample rate.
		A relatively simple approach to creating bandlimited versions of the classic analog waveforms previously discussed (or any other complex, periodic waveforms) is to use additive synthesis.
		Equation (2) is a closed-form expression which can be used to generate a bandlimited impulse train in a manner similar to the use of DSFs.
	www.music.mcgill.ca /~gary/307/week9/bandlimited.html (1426 words)

	Nyquist–Shannon sampling theorem - Wikipedia, the free encyclopedia
		A signal that is bandlimited is constrained in terms of how rapidly it changes in time, and therefore how much detail it can convey, in between discrete instants of time.
		The error that corresponds to the failure of bandlimitation is referred to as aliasing.
		The resulting distortion is called aliasing; the reconstructed signal is said to be an alias of the original signal, in the sense that it has the same set of sample values.
	en.wikipedia.org /wiki/Nyquist-Shannon_sampling_theorem (5194 words)

	Theory of Ideal Bandlimited Interpolation
		The deviation from unity between samples can be thought of as ``overshoot'' or ``ringing'' of the lowpass filter which cuts off at half the sampling rate, or it can be considered a ``Gibbs phenomenon'' associated with bandlimiting.
		The dots show the signal samples, the dashed lines show the component sinc functions, and the solid line shows the unique bandlimited reconstruction from the samples obtained by summing the component sinc functions.
		The practical bandlimited interpolation algorithm presented below is based on the second interpretation.
	ccrma-www.stanford.edu /~jos/pasp04/Theory_Ideal_Bandlimited_Interpolation.html (557 words)

	Multicarrier techniques in bandlimited channels - Patent 5659891
		The outputs of the RF amplifiers are combined into a single output signal by summation circuit 24, the output of which is applied to antenna 25 for transmission in a bandlimited channel.
		In accordance with this asymmetry, the frequency difference between the center frequency of each carrier and the nearest band edge of the mask is greater than half the frequency difference between the center frequencies of the two carriers.
		Co-location of the transmitters allows for signals with a greater range of deviation and baud rates to be carried in the bandlimited channel than has been otherwise thought possible in view of FCC 70 dB cutoff requirements.
	www.freepatentsonline.com /5659891.html (2433 words)

	Digital FM Demodulation - Filtering
		i(t)+jq(t) is bandlimited* to nyquist, the signal phi(t)=arg(i+jq) is
		bandlimited in its rectangular form is not necessarily bandlimited in
		Clearly this signal is bandlimited to f Hz.
	www.dsprelated.com /showmessage/19679/1.php (3929 words)

	sinc (Signal Processing Toolbox) (Site not responding. Last check: 2007-10-28)
		This function is the continuous inverse Fourier transform of the rectangular pulse of width 2
		Thus any such bandlimited function g(t) can be reconstructed from its samples at integer spacings.
		Perform ideal bandlimited interpolation by assuming that the signal to be interpolated is 0 outside of the given time interval and that it has been sampled at exactly the Nyquist frequency.
	www.cs.berkeley.edu /titan/sww/software/matlab/toolbox/signal/sinc.html (126 words)

	Tech Report: HPL-1999-87: Using Walsh Code Selection
		A normalized moment, the "power variance", is proposed as a measure of the signal's sensitivity to nonlinear amplification.
		The estimation of the power variance for the case of a bandlimited QPSK-modulated random waveform is presented as a baseline for illustrating the effect of filtering on a sampled signal.
		The bandlimited CDMA signal case illustrates the interaction between the Walsh codes and the wave- shaping filter, and quantifies the influence of "missing Hadamard basis functions".
	www.hpl.hp.com /techreports/1999/HPL-1999-87.html (283 words)

	Audio Characterization Report for the DS1802 Dual Digital Audio Potentiometer - Maxim/Dallas
		The data presented in Figure 7 is bandlimited to 30kHz and includes data filtered using the A-weighting filter.
		Device and system configuration for this data is taken with the supply voltage of the DS1802 equal to 5 volts, a 1 Vrms input signal, and the wipers of potentiometer 0 and potentiometer 1 set to position 6 (6 dB of attenuation).
		This specification is derived using the 80kHz bandlimited input signal at 1Vrms, and a position-6 potentiometer setting.
	www.maxim-ic.com /appnotes.cfm?an_pk=2119 (1769 words)

	Connexions - Search Repository (Site not responding. Last check: 2007-10-28)
		The bandlimited nature of the channel causes it to have memory which causes intersymbol interference, which can be dealt with in a number of ways.
		A description of various ways to deal with the problem of intersymbol interference which occurs in bandlimited channels.
		Shannon derived the maximum datarate of a source coder's output that can be transmitted through a bandlimited additive white noise channel with no error.
	cnx.org /content/search?words=bandlimited (169 words)

	Digital to Analog \| RF Design - Bandlimited sampling and aliasing - digital to analog
		With that in mind, consider a special class of bandlimited signals known as bandpass signals.
		A bandpass signal is characterized by a bandwidth not bounded by zero at its lower end.
		Thus, bandlimited signals can be sampled and fully recovered only when observing the Nyquist criterion.
	rfdesign.com /mag/radio_mathematical_basics_bandlimited (1613 words)

	Bandlimited Signals Interpretation
		Hz and the scattering coefficients are bandlimited to
		Nonlinearities in the resonators (such as a sitar string) may be sufficiently weak so that inherent low-pass filtering can attenuate nonlinearly generated high frequencies to insignificance before they alias.
		Also, nonlinear excitations can be bandlimited using a lowpass filter if they are not strongly coupled to the resonator they excite (the ``source-filter'' decomposition).
	ccrma-www.stanford.edu /~jos/wgj/Bandlimited_Signals_Interpretation.html (599 words)

	Karrenbach: Reciprocity of vector wavefields
		Spatially bandlimited sources The previous example was for a spatially impulsive source activated on the finite-difference grid.
		However, from a physical point of view, sources on a finite-difference grid are usually not introduced as a spatial impulse but in a bandlimited manner in order to reduce the spatial frequency content such that the difference operators are able to approximate spatial derivatives accurately.
		Spatially bandlimited receivers and sources can be implemented using appropriate weight functions in the projection operators R and S.
	sepwww.stanford.edu /public/docs/sep80/martin1/paper_html (2691 words)

	Bandlimited Interpolation of Time-Limited Signals
		The previous result can be extended toward bandlimited interpolation of
		used as the bandlimited interpolation kernel in the time domain.
		For an introduction to time-domain sampling-rate conversion (bandlimited interpolation) algorithms which take advantage of points (1) and (2) in this paragraph, see, e.
	ccrma.stanford.edu /~jos/mdft/Bandlimited_Interpolation_Time_Limited_Signals.html (389 words)

	William Roberts - UF Journal of Undergraduate Research Paper
		William Roberts and Jian Li SAR (Synthetic Aperture Radar) data, due to radar hardware or cost limitations, is often bandlimited.
		In this paper, the CLEAN method, an iterative deconvolution procedure, is applied to the case of bandlimited SAR data in hopes of suppressing the sidelobes.
		The application of CLEAN proved beneficial for the bandlimited case, as sidelobes were removed and resolution was improved.
	www.clas.ufl.edu /jur/200505/papers/paper_roberts.html (2020 words)

	Bandlimited Interpolation in Time
		The dual of the Zero-Padding Theorem states formally that zero padding in the frequency domain corresponds to ideal bandlimited interpolation in the time domain.
		However, we have not precisely defined ideal bandlimited interpolation in the time domain.
		where the last step is by definition of time-domain ideal bandlimited interpolation.
	www.technick.net /public/code/cp_dpage.php?aiocp_dp=guide_dft_bandlimited_interpolation_t (407 words)

	What is Bandlimited Interpolation?
		Bandlimited interpolation of discrete-time signals is a basic tool having extensive application in digital signal processing.
		In general, the problem is to correctly compute signal values at arbitrary continuous times from a set of discrete-time samples of the signal amplitude.
		A bandlimited interpolation algorithm designed along these lines is described in the theory of operation
	ccrma-www.stanford.edu /~jos/resample/What_Bandlimited_Interpolation.html (235 words)

	Define D-QUANT - Delta Quantizer
		When used to quantize oversampled bandlimited functions, firstorder 1-bit quantizers yield approximations where the pointwise approximation error is bounded by C1A-1 or better, and the MSE behaves like A-3, where A is the frame bound of the corresponding tight frame for the space of bandlimited functions.
		“One-bit Delta quantization is a method of representing bandlimited signals by ±1 sequences that are computed from regularly spaced samples of these signals; as the sampling density, convolving these one-bit sequences with appropriately chosen filters produces increasingly close approximations of the original signals.
		However, in contrast to the setting of bandlimited functions there are many situations where the second order scheme only gives approximation error of order 1/N. For example, this is the case when quantizing harmonic frames of odd length in even dimensions.
	www.birds-eye.net /definition/d/dquant-delta_quantizer.shtml (603 words)

	Sawtooth wave - Wikipedia, the free encyclopedia
		A bandlimited sawtooth wave pictured in the time domain (top) and frequency domain (bottom).
		Both bandlimited (non-aliased) and aliased tones are presented.
		The sawtooth wave is the form of the vertical and horizontal deflection signals used to generate a raster on CRT-based television or monitor.
	en.wikipedia.org /wiki/Sawtooth_wave (689 words)

	Pulse Amplitude Modulation Through Bandlimited Channel (Site not responding. Last check: 2007-10-28)
		Summary: A description of the functionality of a pulse amplitude modulated transmission system in a bandlimited channel.
		To be able to view the math in this document, use the PDF version, or please consider using another browser, such as Mozilla, Netscape 7 or above or Microsoft Internet Explorer 6 or above (MathPlayer required for IE).
		Since the channel is bandlimited, it provides memory for the transmission system.
	cnx.org /content/m10094/2.7 (188 words)

	Sampling Bandlimited Signals
		We consider sampling discrete-time periodic signals which are piecewise bandlimited, that is, a signal that is the sum of a bandlimited signal with a piecewise polynomial signal containing a finite number of transitions.
		These signals are not bandlimited and thus the Shannon—also due to Kotelnikov, Whittaker—sampling theorem for bandlimited signals can not be applied.
		In this paper, we derive sampling and reconstruction schemes based on those developed in [1, 2, 3] for piecewise polynomial signals which take into account the extra degrees of freedom due to the bandlimitedness.
	bigwww.epfl.ch /publications/vetterli0101.html (322 words)

	CS 3860 Project: Bandlimited Square Wave Synthesis in C++ (Site not responding. Last check: 2007-10-28)
		CS 3860 Project: Bandlimited Square Wave Synthesis in C++
		Write a C++ program to produce a square wave which is bandlimited with respect to the Nyquist frequency: the output waveform should not contain any frequency components above one-half of the sampling rate.
		The program takes as input the frequency (in Hertz), sampling rate (in Hertz), and duration of the desired tone (in seconds).
	www.mcs.csuhayward.edu /~tebo/Classes/3962/bandlimited.html (205 words)

	Cakewalk Z3TA+ Bandlimited Waveshaping Soft Synth
		The Z3TA+ is not a virtual analogue synth, although its layout and parameter selection will not be unfamiliar to those versed in conventional synthesis.
		Cakewalk call the synthesis engine 'Bandlimited Waveshaping technology' — basically, a variation on 32-bit wavetable synthesis, but with extensive waveshaping options that add a 'signal processing' feel to the basic oscillators.
		The bottom line is that the sound quality cuts well, and the synth can produce FM-type sounds as well as fairly lush, evolving pads.
	www.soundonsound.com /sos/jun05/articles/sonarnotes.htm (1073 words)

	[No title]
		How ever, the other day when finally understanding what bandlimited wave creation is (i am a noobie, been doing DSP stuf on and off for a half/year) it hit me i can implement one little part in my synths.
		It's all about the freq (that i knew), very simple you can reduce alias (the alias that you can hear that is) extremely by keeping track of your frequence, the way i solved it is using a factor, afact = 1 - sin(f*2PI).
		This is working code for synthesizing a bandlimited sawtooth waveform.
	www.musicdsp.org /archive.php?classid=1 (3360 words)

	MUS420/EE367A Lecture 4 Interpolated Delay Lines, Ideal Bandlimited Interpolation, and Fractional Delay Filter Design
		Example Application of Fractional Delay Filtering and Bandlimited Interpolation
		Optimal Least Squares Bandlimited Interpolation Formulated as a Fractional Delay Filter
		``Bandlimited Interpolation, Fractional Delay Filtering, and Optimal FIR Filter Design'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
	ccrma.stanford.edu /~jos/Interpolation (159 words)

	Thèse EPFL 3058 (2004) Irena Maravic
		Specifically, we develop a subspace approach to signal reconstruction, which converts a nonlinear estimation problem into the simpler problem of estimating the parameters of a linear model.
		This provides an elegant and robust framework for solving a large class of sampling problems, while offering more flexibility than the traditional scheme for bandlimited signals.
		In the second part of the thesis, we focus on applications of our results to certain classes of nonlinear estimation problems encountered in wideband communication systems, most notably ultra-wideband (UWB) systems, where the bandwidth used for transmission is much larger than the bandwidth or rate of information being sent.
	library.epfl.ch /theses/?nr=3058 (405 words)

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