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Question 1 [30] Consider a discrete time cosine wave x(n) w...

Question 1 [30] Consider a discrete time cosine wave x(n) with 200 samples where π₯(π) = π₯1 (π) + π₯2(π) as shown below: 2 a) [6] Write down the equation of π₯1(n) and π₯2 (π). b) [17] Can you give the expression of the Fourier Series expression of π₯(π) by listing...

Coursework 2: Microstrip patch antenna 1. Introduction Mic...

Coursework 2: Microstrip patch antenna 1. Introduction Microstrip patch antennas are very popular because they have a compact design and can be fabricated at relatively low cost. They are in common usage in mobile devices and microwave sensors [1]. There are several different types of patch ante...

In this assignment you will need to calculate the integral a...

In this assignment you will need to calculate the integral and the derivative of some functions. In the Appendix, you can find information about how to evaluate the integral and the derivative of a function. Also, you will need to calculate the envelope and phase of a bandpass function. In the Ap...

CPS Variations around the FFT Note: in the following, no sp...

CPS Variations around the FFT Note: in the following, no specific knowledge on the mode of operation of the FFT is required. All relevant elements are provided in the homework description. Interested reader may use additional resources if necessary, but this is not mandatory. The Fast Fourier Tr...

Week 9 Matlab project, In this assignment, we use Matlab to...

Week 9 Matlab project, In this assignment, we use Matlab to build an FM modulator and demodulator. The Matlab program is given by ExampleFM.m on page 292 of the textbook. The modulating signal m(t) is triangular with amplitude (-1, +1). Run a slightly modified version of the Matlab program to gene...

11. Design a first-order digital lowpass Chebyshev filter w...

11. Design a first-order digital lowpass Chebyshev filter with a cutoff frequency of 1.5 kHz and a passband ripple of 1 dB at a sampling frequency of 8,000 Hz. a. Determine the transfer function and difference equation. b. Use MATLAB to plot the magnitude and phase frequency responses. 12. De...

1. Given an analog filter with the transfer function H(s)=...

1. Given an analog filter with the transfer function H(s)= 1,000/(s+1,000) convert it to the digital filter transfer function and difference equation using the BLT if the DSP system has a sampling period of T = 0.001 second. 3. The normalized lowpass filter with a cutoff frequency of 1 rad/se...

Digital Signal Processing 2. Design a 3-tap FIR highpass fi...

Digital Signal Processing 2. Design a 3-tap FIR highpass filter with a cutoff frequency of 1,600Hz and a sampling rate of 8,000 Hz using a a. rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and...

Digital Signal Processing Chapter 3 1. Sketch each of the ...

Digital Signal Processing Chapter 3 1. Sketch each of the following special digital sequences: (a) 58(n) (b) -2õ(n-5) (c) -5u(n) (d)5u(n-2) 2. Calculate the first cight sample values and sketch each of the following sequences: (a.) x(n)=0.5"u(n) (b. x(n)=5sin (0.2m n)u(n) ...

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