We need to remove rad/sample
If we want a unity gain, we can normalize the transfer function
So the MATLAB script for obtaining the frequency response of the designed FIR filter
Case - I: When normalization is not required
clc;
clear all;
close all;
b = [1 1.0717 1];
a = 1;
freqz(b,a);
The frequency response in this case will be
Case II When we have normalized the filter
clc;
clear all;
close all;
b = [0.3256 0.3489 0.3256];
a = 1;
freqz(b,a);
The frequency response will be
In each of the problems please solve manually (which is worth 75% of the problem points)...
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
Please Show All the Steps Carefully. Please include both Written and Matlab approach. Written meaning Approaching the problem by hand and not using Matlab at all. Highest rating will be given to those who show all the Written and Mattab steps carefully. Do not skip the Written Method at all! Show All Your Work, Please! 2. An FIR system is described by the following Difference equation y n)-0.5 (x(n) - x(n-2)) a. Find the frequency response of this filter and...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
Problem 5 (10 points): Circle "T" for True or "F" for False for each of the following statements T F For a smoothing filter given by y[n]-(1-a)x[n] + αy[n-1], where 0 < α 1, the effects of an individual input sample never die out. The following system, where N > 1, is a high-pass filter: TF N-1 T F If the output of a digital filter depends on both current and past input values, it is called T F An...
Problem 31: (34 points) 1. (10 points) A pulse width modulated (PWM) signal fPwM(t) in Figure 2. The symbol D represents a duty cycle, a number between zero and one. Determine the compact trigonometric Fourier series coefficients (Co C,11 %) of the signal f(t). 2. (10 points) One use of PWM is to generate variable DC voltages. While the PWM signal is not DC, you should be able to see from your results in part 1 that it hss a...
Solve the problems as directed. Each problem worth 15 points. Use the data declaration on the first page of this Review the SPIM program on the right. Then answer the following questions: What does the program do and how does it accomplish its goal? What is the last operation the program performs before halting? Write down the exact console output.. text main: la St1 str next Ib St0, (St1) beqz Sto, off sub Ssp, Ssp, 4 sw St0, (Ssp) addi...