ECE425-525 - Digital Signal Processing - Engineering Assignment Help

Assignment Task

1. The Problem
You are to design a high boost filter using the windowing filter design method and apply it to an audio signal. Create an FIR filter with M = 1001 impulse response samples. Define the filter impulse response samples analytically, by following the windowing filter design method. Evaluate the equations in MATLAB to get your impulse response. You may use freqz( ) to plot your frequency response, but you should not use fdatool( ), or fir1( ) or any other ready-made filter design function. Use the rectangular window and another window of your choosing. Process a short audio signal (of your choosing) and listen to the input and output using the sound( ) or soundsc( ) command.

2. What to Include
You may use Word or LaTeX, but produce and submit a .pdf file and do not compress or archive it). You should begin with a title page. Then using numbered section headings include the following sections:

1. Introduction,

2. Filter Design,

3. Experimental Results, and

4. Conclusions. Include an Appendix section that includes your MATLAB code. In the Introduction, explain the problem in your own words. In the Filter Design section, include the following items:
Follow the windowing filter design method to produce an analytic expression for the rectangular windowed impulse response. Show several steps with numbered equation entered with the equation editor. Center the equations and right justify the equation numbers. Put your equation in properly punctuated complete sentences. Make sure you include the final impulse response equation.
Include a stem plot of the impulse response with rectangular window and Blackman-Harris window.
Show the magnitude frequency response for your two filters (put both curves on one plot and include a legend). You may use ffts, freqz, or evaluate samples of the DTFT of your impulse response. Be sure to correctly label your axes and include proper units.

Filter Design:
The first step for designing a FIR digital filter using the windowing method is to specify the frequency response of this filter. In this question, the desired discrete frequency response is explained.

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