# Matlab assignment

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It is MATLAB assignment. Please look at the files and try do all the details required The assignment is CA2_sp17.

EE341 Homework Assignment 8 3-06-17 Due: Friday, 3-10-17 Read: Text Chapter 6, sections 6.1, 6.4, and section 6.2. Also read: the frequency response handout and filter design handout (starting on p. 683, Chebyshev filters); both documents are currently posted on the course website under “Handouts.” Problems: 1.) Determine the frequency response and the impulse response of the systems described by the following differential equations: d (a) y (t ) + 3 y (t ) = x(t ) dt d d d2 (b) 2 y (t ) + 5 y (t ) + 6 y (t ) = − x(t ) dt dt dt 2.) Determine the differential equation descriptions for the systems with the following impulse responses: (a) h(t ) = a1 e − t / a u (t ) (b) h(t ) = 2e −2t u (t ) − 2te −2t u (t ) 3.) Design a Type I Chebyshev lowpass filter with the following specifications: (i) 0.2 dB passband ripple (ii) Passband edge frequency = 10000 Hz (iii) Stopband frequency = 13000 Hz (iv) Stopband attenuation of 50 dB or more Your completed design will include: (a) The minimum number of poles N needed to satisfy the specs. (b) The poles p0, p1, ..., pN-1 (c) A MATLAB polar plot of the poles (use the “polar(angle(p),abs(p))” command, where p is your array of poles. Note: It is highly recommended that you write a MATLAB program to compute the poles, due to the number of poles involved. However, you can also do it by hand if you wish. Use of the Matlab filter design commands cheb1ord, cheby1, or cheb1ap is not allowed for this homework, although you may certainly use them to check whether or not your answer is correct.

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