· Soft copy of the assignment is to be submitted online only through Moodle. · Each student has to do the assignment individually. · Explain your notations and steps explicitly and clearly. Write neatly and legibly. · An incomplete assignment is not acceptable for submission. You can refer books in Library or use internet resource. But you should not cut and paste material from internet nor provide photocopied material from books. The assignment answers should be in your own words after understanding the matter from the above resources. · If required viva will be conducted before evaluating the assignment and no marks are awarded for the viva. If the assignment is copied in part or whole from other student then MEC policy on cheating will be applied and Zero marks will be awarded. There will be no chance for second submission. Title Page must have Assignment Name, Module name, your name, ID, and section. Any late submissions will result in the deduction of marks as mentioned in the Module Information Guide (MIG). · Question on Matlab should be executed using the Matlab tool and results should be attached to the assignment copy. Refer MIG for feedback dates on assignment. Refer to the MIG for MEC policy on plagiarism and late submission 1. Find the Z-transform of the following discrete-time signals ,remembering to include the ROC for each: a) x(N)= (2.5 Marks) b) (2.5 Marks) 2. Consider the system shown in Figure.4, determine: a) The system function H(z); and b) The difference equation relating the output y[n] and input x[n] 3. f 2000 0 n 1 The noise power spectral density in a channel is given by the plot between square of noise voltage and frequency in Hz. The noise power spectrum is given by the colored noise given in figure 6 If the signal sent through the channel is given by Write a matlab program to plot the input signal x(t), noise signal and output of the channel. 4. Design an FIR digital filter H(z) that when used in the prefilter A/D-H(z)-D/A structure will satisfy the following equivalent analog specifications: a) Lowpass filter with -1 dB cutoff at 100π rad/sec b) Sampling rate of 2000 samples/sec c) The phase must be linear. The specifications are also represented in figure 5.