1. It is desired to design a linear phase, length N FIR filter via the window method. The desired...
Design a linear-phase, bandpass FIR filter using the window-based approach to meet the following specifications: ws,L = 0.3T,ap.L = 0.45T,Wp u = 0.65T, "Au-0.8T, mini- mum stopband at (i) Is there a unique window to meet the desired specifications? If not, choose the window with minimum transition width (ii) Plot the magnitude and phase response of the designed filter using MATLAB. (iii Using the MATLAB command firpm, design the same linear-phase bandpass FIR filter via the Parks-McClellan algorithm. Plot the...
Thanks Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks) Question 3 a)...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of zeros of H(z) Use the code below: 2. Hr.type2: function [Hr,v,b.L) Hr_Type2(h); % Computes Amplitude response of a Type-2 LP FIR filter % Hr Amplitude Response % w- frequencies between [0 pi] over which Hr is computed % b = Type-2 LP...
0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design a causal linear-phase DT lowpass FIR filter with no more than 1 dB passband ripple at 16kHz, at least 50dB of attenuation at 20kHz, sampling rate of 400 kHz. Choose one of the windows in the table in Fig. 2. Select an even filter order...
In this problem, you are asked to design a length-16 FIR low-pass filter with cutoff frequency ωc = π 2 radians, using the window design method. 2. [FIR Filter Design) In this problem, you are asked to design a length-16 FIR low-pass filter with cutoff frequency We = radians, using the window design method. (a) Find an expression for the coefficients {hn}n using a truncation (rectangular) window. (b) Find an expression for the coefficients {n}=l using a Hamming window. (c)...
7.31. Suppose that we have used the Parks-McClellan algorithm to design a causal FIR linear phase lowpass filter. The system function of this system is denoted H(z). The length of the impulse response is 25 samples, i.e., h[n] 0 for n < 0 and for n > 24, and hol?0. The desired response and weighting function used were In each case below, determine whether the statement is true or false or that insufficient information is given. Justify your conclusions. (a)...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where M is an even integer. Derive the filter's frequency response and show that it has a linear phase. Why is linear phase a desired property ? (b) You are asked to design a linear-phase FIR filter. The required pass-band is from 1,000 Hz to 3,000 Hz. The input signal's sampling frequency is 16, 000Hz e the pass-band in the w domain 1. GlV n...
1. Design a 10th-order lowpass FIR filter using the window method (fir1) to cut frequencies above 30Hz in an application where the sampling frequency is 125 Hz. 2. Plot the filter coefficients that define the filter (stem). 3. Plot the frequency response of the FIR filter designed (freqz) 4. Design a 100th-order lowpass FIR filter using the window method (fir1) to cut frequencies above 30Hz in an application where the sampling frequency is 125 Hz. Plot the filter coefficients that...
Determine the coefficients b0, b1, b2, of a generalized linear-phase FIR filter 1. (GLP FIR Filters] Determine the coefficients bo, bi, b2, of a generalized linear-phase FIR filter | d[n] = box[n] + b n - 1]+b22[n – 2] such that (i) it rejects any frequency component at wo = /3; and (ii) its frequency response is normalized so that Ha(0) = 1. Compute and sketch the magnitude and phase response of the filter to check that it satisfies the...
A fourth order, Type I, linear phase, FIR filter, h[n], is to be designed using the window method. The ideal impulse response of the filter is defined as:hd[n] = sin([pi/4]*[n - N/2]) / ([n - N/2]*pi) ,where N is the filter order and 'pi' denotes the mathematical (irrational) constant number 3.14159.... Given that a stopband attenuation of 50 dB is required,a) Find and sketch h[n]b) Determine the transfer function of the resulting digital filterc) Draw the filter block diagramd) Determine...