5.38 a,b,c
due to lack of time iam uploading first four parts with b and c remaining will be uploaded with in a hour
Aliasing occur? (Justify your answer.) 5.38. An ideal lowpass digital filter has the frequency fu...
#2: Consider the ideal lowpass filter DT filter described by -j60 e 4 0, 4 H() | 2,7 - periodic elsewhere (a) (10 pts) Find the output for an input signal x[n]=2 cosnr/2 (b) (10 pts) Find the output for an input signal xnsinc (n /2) (c) (10 pts) Find the output for an input signal x[n]sinc(n/8) cos (n) #2: Consider the ideal lowpass filter DT filter described by -j60 e 4 0, 4 H() | 2,7 - periodic elsewhere...
9-5. Given: an ideal digital BPF has impulse response h(n) = z sinc(n) - sinc(n). What is its output signal when the input signal is the sequence cos(2n)?
[1].(20 Write a MATLAB program to design an FIR filter with the ssba (6KH2-12kHz) and draw the frequency response. The sampling rate is 40kHz and the filter order is 10. Hint: b- firl(10, passband), freqz(b, 1, n (Display the horizontal axis in terms of analog frequency.) [2].(25}) In the following system f,800 samples/sec. yln]= 0.5y/n-1+ z{n]+ z{n_1] - c) Ideal D-to-A Cunverter LTI System Ideal A-to-D Converter -1/F T.-1/P (a) Determine the impulse response h nl/ (b) Determine the output...
(a) Show that for any B 〉 0 and any c E R. 3, sinc is a Fourier transform pair. You may assume the Fourier transform pair Pr(t) ←→ τ sine ( (b) An ideal bandpass filter has frequency response w) 0, otherwise 2(t-1 Find the output response y(t) when the input is (t)-sinc 2 (a) Show that for any B 〉 0 and any c E R. 3, sinc is a Fourier transform pair. You may assume the Fourier...
(a) Sketch the circuit diagram for the passive lowpass filter circuit and find the frequency response of the system. [6 marks] (b) If the DTFT of the lowpass filter function in 6(a) is given by the expression below, find the inverse DTFT of the function to obtain h[n]. [6 marks] os 1, Osl@ @c H(ej") = 0, Oc <l@kte
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
1.The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2, a2 = 2, b0 = 1, b1 = 1/2, b2 = 1/8. (a's are numerator coefficents and b's are the denominator coefficients). Compute the magnitude response |H(ejω)| where ω = 5.174 rad/sec. 2. It is desired to extract a constant signal s(n)= s from the noisy measured signal x(n)= s(n)+v(n)= s + v(n), where v(n) is zero-mean white Gaussian noise of variance ϭv2. For...
(c) A digital filter has transfer function 1 Н(2) z 1/2 Evaluate the response function of the filter, Y(z)= X(z)H(z), for the sequence (i 2* x(n)a. (Use the geometric series 1-c k 0 (ii By using partial fractions, determine the response of the filter, y(n), to the input x(п) %— а". (iii What is the response to the input data x(n) (1)"? [Note: the Z- transform of a sequence x(n) is defined as X(z) x(n)z. The n-0 inverse Z- transform...
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given block diagram to the transposed direct form II one. 2 (b) Determine the difference-equation representation of the system 4 (c) Find the transfer function for this causal filter and state the pole-zero pattern (d) Determine the impulse response of the system 2 (e) For what values of k is the system stable? (f) Determine yln if k 1 and...
Consider a 4th-order lowpass Chebychev I digital filter given by 0.055524 + 0.222173 +0.3331:2 +0.22212 +0.0555 24 - 0.749823 + 1.072522 – 0.55982 +0.2337 (2) 1. Assuming the sampling frequency of this filter is Fs = 10kHz, plot the frequency response of this filter in the first Nyquist zone, in units of Hz as opposed to a normalized frequency or units of radians w. Plot the magnitude using the dB scale. 2. Plot the poles and zeroes of this filter...