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Topic: Chebyshev filter

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	Chebyshev filter - Wikipedia, the free encyclopedia
		Chebyshev filters have the property that they minimise the error between the idealised filter characteristic and the actual over the range of the filter, but with ripples in the passband.
		This type of filters is named in honor of Pafnuty Chebyshev because their mathematical characteristics are derived from Chebyshev polynomials.
		As is clear from the image, Chebyshev filters are sharper than the Butterworth filter; they are not as sharp as the elliptic one, but they show fewer ripples over the bandwidth.
	en.wikipedia.org /wiki/Chebyshev_filter (404 words)

	Butterworth filter - Wikipedia, the free encyclopedia
		The Butterworth is the only filter that maintains this same shape for higher orders (but with a steeper decline in the stopband) whereas other varieties of filters (Bessel, Chebyshev, elliptic) have different shapes at higher orders.
		Compared with a Chebyshev Type I/Type II filter or an elliptic filter, the Butterworth filter has a slower roll-off, and thus will require a higher order to implement a particular stopband specification.
		Like all filters, the typical prototype is the low-pass filter, which can be modified into a high-pass filter, or placed in series with others to form band-pass and band-stop filters, and higher order versions of these.
	en.wikipedia.org /wiki/Butterworth_filter (546 words)

	Filter Solutions Even Order Modification
		The even order filters of Chebyshev I, Chebyshev II, Hourglass, and Elliptic create a special problem in that their standard forms are not realizable with passive RCL circuits when their source and load resistances are comparable.
		In general, for an equally terminated filter to be realizable, a low pass filter frequency response must have a reflection zero at 0Hz and a transmission zero at infinity.
		For band pass filters, the reflection zero must be at the center frequency, and the transmission zero at 0Hz and infinity.
	www.filter-solutions.com /even.html (548 words)

	Filter Design Guide
		In a classic, passive filter made of inductors, capacitors, and resistores, the filter's frequency response is the result of the impedance of inductors and capacitors changing with respect to one another, and with respect to the resistors in the filter.
		The poles of a two-pole filter are at ±45°.
		The blue graph is a two-stage (four-pole) active low-pass filter, the pink is a single-stage (two-pole) active filter, and the yellow is a one-and-a-half stage (three-pole) filter.
	alignment.hep.brandeis.edu /Electronics/A2037/Filter.html (4849 words)

	i/filter
		The filter is assumed to be normalized to an angular frequency (e.g.- radians per second), unless DT<0, in which case FILT is assumed to be normalized to a circular frequency (e.g.- Hz or GHz).
		If DB is nil, the filter is normalized such that both the s^0 and s^NP terms are 1, unless the natural= keyword is non-zero, in which case the filter is normalized such that the group delay d(phase)/dw is -1 at w=0.
		For wc=1 and db=ripple, the square of the inverse Chebyshev frequency response is 1 - 1/(1+eps2Tnp(1/w)), where eps2 = 10^(ripple/10)-1 = 1/(10^(atten/10)-1) and Tnp is the np-th Chebyshev* polynomial, cosh(npacosh(x)) or cos(npacos(x)).
	web.mit.edu /yorick_v1.5.12/yorick/1.5/doc/html_i/filter_i.html (1403 words)

	cheby1 (Signal Processing Toolbox)
		Chebyshev type I filters are equiripple in the passband and monotonic in the stopband.
		Type I filters roll off faster than type II filters, but at the expense of greater deviation from unity in the passband.
		For high order filters, the state-space form is the most numerically accurate, followed by the zero-pole-gain form.
	www.tau.ac.il /cc/pages/docs/matlab/help/toolbox/signal/cheby1.html (422 words)

	Chebyshev Filter Macro - Spring 1998
		Filters are a circuit element that seem to mesh perfectly with the macro capability of Micro-Cap.
		Most filters consist of a basic structure whose component values can be modified through the use of well known equations.
		Chebyshev filters are characterized by their ripple response in the passband and a monotonically decreasing transmission in the stopband.
	www.spectrum-soft.com /news/spring98/cheby.shtm (988 words)

	Analog Filter Design Demystified - Maxim/Dallas
		Similar to the Chebyshev response, it has ripple in the passband and severe rolloff at the expense of ripple in the stop band.
		To ensure conformance with the generic filter described by Equation 1, and to ensure that the last term equals unity, the first two quadratics have been multiplied by a constant.
		A 5th-order, 1dB-ripple Chebyshev lowpass filter is constructed from two non-identical 2nd-order sections and an output RC network.
	www.maxim-ic.com /appnotes.cfm/appnote_number/1795 (2237 words)

	Chebyshev, Pafnuty Lvovich - Hutchinson encyclopedia article about Chebyshev, Pafnuty Lvovich (Site not responding. Last check: 2007-10-16)
		He later tackled probability and statistics, fields in which he proved important basic theorems including the law of large numbers.
		Chebyshev was born in Okatovo in the Kaluga region of Russia.
		This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
	encyclopedia.farlex.com /Chebyshev,+Pafnuty+Lvovich (167 words)

	Chebyshev Filters
		However, while the poles of the Butterworth filter lie on a circle in the s-plane, those of the Chebyshev filter lie on an ellipse.
		Figure 1: A pole-zero plot of a lowpass Chebyshev filter The poles are equally spaced around an ellipse in the left half of the complex plane.
		The design of Chebyshev filters is generally done the same way Butterworth filters are (with tables and Matlab).
	cnx.org /content/m10104/latest (307 words)

	cheby1 (Signal Processing Toolbox)
		Normalized cutoff frequency is the frequency at which the magnitude response of the filter is equal to
		For data sampled at 1000 Hz, design a 9th-order lowpass Chebyshev Type I filter with 0.5 dB of ripple in the passband and a cutoff frequency of 300 Hz, which corresponds to a normalized value of 0.6:
		It transforms the lowpass filter into a bandpass, highpass, or bandstop filter with desired cutoff frequencies, using a state-space transformation.
	www-rohan.sdsu.edu /doc/matlab/toolbox/signal/cheby1.html (446 words)

	How to choose a filter? (Butterworth, Chebyshev, Inverse Chebyshev, Bessel or Thomson)
		This filter response has the steeper initial rate of attenuation beyond the cutoff frequency than Butterworth.This advantage comes at the penalty of amplitude variation(ripple) in the pass-band.
		The difference is that the ripple of the Inverse Chebyshev filter is confined to the stop-band.
		Cutoff of the Inverse Chebyshev is defined as the frequency where the response first enters the specified stop-band.
	www.etc.tuiasi.ro /cin/Downloads/Filters/Filters.htm (310 words)

	(WO 02/103837) FILTER WITH IMPROVED INTERMODULATION DISTORTION CHARACTERISTICS AND METHODS OF MAKING THE IMPROVED FILTER (Site not responding. Last check: 2007-10-16)
		In one case, the electric filters include a 4-resonator Chebyshev narrow pass-band filter with at least the first resonator (1105) having a Q and/or IP different from at least one other resonator (1110) in the filter.
		The relative Q and IP of the respective resonators in the improved filter may depend on the relative strength of in-band and out-of-band signals.
		The performance and cost of the electric filter may be optimized by designing the filter to have a relative Q and IP required by the particular application.
	wipo.int /cgi-pct/guest/getbykey5?KEY=02/103837.021227&ELEMENT_SET=DECL (309 words)

	Chebyshev/Butterworth Filter Design
		These filters are composed of a series of circuit branches which are alternately connected in series or shunt with the source-to-load path.
		As no corresponding derivation was found for the Chebyshev filter, the number of required branches is estimated to be the next odd number less than that calculated for the Butterworth design.
		The second example is a low-pass filter with an attenuation of 1 dB at 30 MHz and 30 dB at 54 MHz.
	www.qsl.net /kp4md/filter.htm (837 words)

	A journey of a thousand miles begins with one step. (Site not responding. Last check: 2007-10-16)
		An inverse Chebyshev filter is used because it has a maximally flat frequency response in the pass-band and an equal rippled frequency response in the stop-band.
		The formula for an inverse Chebyshev filter's frequency response magnitude is given in Formula 3.
		After passing through the input filter, the signal will have all of its frequency components above the cutoff frequency minimized by the filter, so the signal can be recorded without nasty aliasing problems.
	www.owlnet.rice.edu /~elec301/Projects99/adda/ifiltering.html (213 words)

	Sensors Magazine Online - February 2002 - Demystifying Analog Filter Design (Site not responding. Last check: 2007-10-16)
		Similar to the Chebyshev response, it has ripple in the pass band and severe rolloff at the expense of ripple in the stop band.
		To ensure conformance with the generic filter described by Equation 4 and to ensure that the last term equals unity, the first two quadratics have been multiplied by a constant.
		Band-pass and band-stop filters can also be implemented (with single op amps) by using techniques similar to those shown, but those applications are beyond the scope of this article.
	www.sensorsmag.com /articles/0202/filter/main.shtml (2317 words)

	☞ filter - chebyshev low pass filter - chebyshev low pass filter online guide (Site not responding. Last check: 2007-10-16)
		Chebyshev Pi Low Pass Filter Calculator Enter Fc, Zo, r and n (all four are required) to calculate filter component values.
		Filter order (1 to 16, must be even for band-pass) - Ripple value (in dB, CHEBYSHEV filters only) - Low-cut and High-cut frequencies Care must be taken when the chosen cut frequency is...
		5.3 Second-Order Low-Pass Chebyshev Filter With 3-dB Ripple...
	www.all-filter.info /lowpassfilter/chebyshev-low-pass-filter.html (718 words)

	lab5-fa01 (Site not responding. Last check: 2007-10-16)
		The analog elliptic function filter uses a Chebyshev approximation in both the passband and the stopband.
		These four optimal analog filters can be transformed into optimal digital filters with the bilinear transform that is investigated in the second half of this project.
		The filtering specifications for a particular job had a sampling rate of 2 Hz, passband ripple of 0.1 dB, passband edge of 0.28 Hz, stopband edge of 0.32 Hz, and a stopband ripple below 30 dB.
	www.eng.auburn.edu /~sjreeves/Classes/ELEC6410/lab5-fa01 (763 words)

	IIR Digital Filter Design Applet (Site not responding. Last check: 2007-10-16)
		This shows the locations of the filter poles and zeros in the complex z-plane, together with the unit circle.
		A band-pass filter, which must have even order, has equal numbers of zeros at both these locations.
		This shows the filter gain as a function of frequency over the range 0 - 4000 Hz (based on a sampling rate of 8000 samples/second).
	www.dsptutor.freeuk.com /IIRFilterDesign/IIRFilterDesign.html (358 words)

	Signal Processing toolbox
		coefficients of a FIR low-pass, high-pass, band-pass, or stop-band filter.
		The filter description can be one or two vectors of coefficients, one or two polynomials, or a rational polynomial.
		The filter specification can be in coefficient form, polynomial form, rational polynomial form, cascade polynomial form, or in coefficient polynomial form.
	pauillac.inria.fr /cdrom/www/scilab/doc/manual/docu007.html (3128 words)

	☞ filters - Low Pass Filter (Site not responding. Last check: 2007-10-16)
		A low-pass filter is a filter that passes low frequencies well, but attenuates (or reduces) frequencies higher than the cutoff frequency.
		An acoustic low-pass filter may be constructed by inserting an expansion chamber in the duct...
		A low-pass filter is a filter that passes low frequencies well, but attenuates (or reduces) frequencies...
	www.filters-101.info /low-pass-filter (690 words)

	The Chebyshev Type II Filter
		The Chebyshev Type II Filter, also known as the Inverse Chebyshev Filter, contains a Butterworth style, or maximally flat, pass band, a moderate group delay, and an equiripple stop band.
		Like the Butterworth Filter, the pass band attenuation of the Chebyshev Type II Filter is defined to be -3.01 dB.
		Below are examples of 5th order Chebyshev Type II low pass, high pass, band pass and band stop filters and the low pass step response.
	www.filter-solutions.com /chevy2.html (172 words)

	DAPL IFM (IIR Filter Module)
		The DAPL IFM is a DAPL IIR filter module: an onboard digital implementation of the five classic filter types (Bessel, Butterworth, Chebyshev, Inverse Chebyshev, and Elliptic).
		The above command operates on the data stream from channel 0 (input pipe 0); it applies an eighth-order Chebyshev filter, with a cutoff at 20% of the Nyquist frequency (Nyquist frequency = half of the sample rate) and allows a 0.1 decibel passband ripple.
		The filters operate independently, and each filter may have different parameters.
	www.mstarlabs.com /software/daplifm.html (367 words)

	LC Filter Design
		The resistor in series with the input (R1 in the example) represents the filter input impedance, and the resistor at the output (R2) represents the filter output impedance.
		The circle with an M represents a voltmeter measuring the filter output.
		is the centre frequency (for a bandpass filter) or the corner frequency (for a lowpass or highpass filter).
	www-users.cs.york.ac.uk /~fisher/lcfilter (673 words)

	Press Release: Onboard IIR Filters Enhance Data Acquisition
		Bellevue, WA, May 31, 2001 -- Microstar Laboratories, Inc., maker of Data Acquisition Processor (DAP) boards, today announced an IIR filter module: an onboard digital implementation of the five classic filter types: Bessel, Butterworth, Chebyshev, Inverse Chebyshev, and Elliptic.
		The new product, DAPL IFM (IIR Filter Module), forms an optional additional command module to DAPL 2000: a 32-bit multitasking real-time operating system that runs on every DAP board.
		DAPL IFM (IIR Filter Module) extends DAPL 2000: a 32-bit multitasking real-time operating system with 100+ built-in commands optimized for data acquisition and control.
	www.mstarlabs.com /docs/prdifm.html (651 words)

	No Title
		The analog Butterworth filter is based on a Taylor series approximation in the frequency domain with expansions at w=0 and
		This filter is also called maximally flat since it is optimal in the sense that as many derivatives as possible equal zero at w=0 and
		You are not expected to include in the report all plots which you were required to do; instead, you should summarize in your report the important features of the unincluded plots.
	www.eng.auburn.edu /~sjreeves/Classes/EE643/lab3-sp99/lab3-sp99.html (780 words)

	Poles Of A Normalized Chebyshev Filter (Site not responding. Last check: 2007-10-16)
		Returns the poles of a normalized Chebyshev filter with n poles and ripple parameter eps, where n is an integer scalar and eps is a real or double-precision scalar such that
		Note that the poles come in conjugate pairs, so the corresponding polynomial is real.
		The following program computes the poles corresponding to a 7 pole Chebyshev filter with.8 ripple parameter.
	www.omatrix.com /manual/fncpole_frame2.htm (99 words)

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