Signals, Systems, & Transforms

MATLAB Session

DT Frequency Domain Analysis z-Transform

• Learn to use "linspace" function in MATLAB.
• Find z-Transform from discrt. time signal using MATLAB function.
• Find Inverse z-Transform from cont. frequency signal using MATLAB function.

Generating Amplitude Responses and Plots using MATLAB

• Find z-Transform from discrt. time signal using MATLAB function and plot the result w.r.t. frequency (Ω-plane).

Design and Plot Digital Filters using MATLAB

LPF, HPF, BPF

Finding z-Transform And Inverse z-Transform -

INLAB Report (No 1) :

• Find z-Transform for following time domain signal using MATLAB.
• Consider using "sym" function to define time domain signal.
• Can you guess MATLAB function which performs z-Transform?
• Use help in MATLAB to find the syntax for function.

INLAB Report (No 2):

• Consider a DT signal, x(n), and DT system, h(n), described as below.
• Use z-Transform to find output response, Y(z), in z-domain using MATLAB.
• Use inverse z-Transform to find DT output response, y(n).
• Can you guess MATLAB function which performs z-Transform?
• Use help in MATLAB to find the syntax for function.

Generating Frequency Responses (Amplitude Response)

INLAB Report (No 3):

• Generate Amplitude Plot and Phase Plot for following DT frequency response system using MATLAB.
• Define a discrete-time frequency variable Ω from - π to - π with step size of π/200. (Note, π in MATLAB is pi)
• Consider using "tf", "freqresp", and "squeeze" function to define frequency response of system.
• Consider using "abs" function to plot amplitude response of system.
• Consider using "angle" function to plot phase response of system.
• Plot amplitude response w.r.t. DT frequency Ω.
• Plot phase response w.r.t. DT frequency Ω.
• Use help in MATLAB to find the syntax for function.
• Include screen shot of your code and results in report.
• Describe the result in your own words.

Poles and Zeros in Freq. Resp. (Graphical Representation)

INLAB Report (No 4) :

• We are trying to control gain (attenuation) using poles in DT frequency response.
• Modify existing code to generate Amplitude Plot and Phase Plot for following DT frequency response system.
• Plot amplitude response w.r.t. DT frequency Ω.
• Plot phase response w.r.t. DT frequency Ω.
• Use help in MATLAB to find the syntax for function.
• Include screen shot of your code and results in report.
• Describe the result in your own words.

INLAB Report (No 5):

• We are trying to control gain (attenuation) adding more zeros in DT frequency response.
• Modify existing code to generate Amplitude Plot and Phase Plot for following DT frequency response system.
• Plot amplitude response w.r.t. DT frequency Ω.
• Plot phase response w.r.t. DT frequency Ω.
• Use help in MATLAB to find the syntax for function.
• Include screen shot of your code and results in report.
• Describe the result in your own words.

INLAB Report (No 6):

• We are trying to control gain (attenuation) adding more poles in DT frequency response.
• Modify existing code to generate Amplitude Plot and Phase Plot for following DT frequency response system.
• Plot amplitude response w.r.t. DT frequency Ω.
• Plot phase response w.r.t. DT frequency Ω.
• Use help in MATLAB to find the syntax for function.
• Include screen shot of your code and results in report.
• Describe the result in your own words

INLAB Report (No 7):

• Generate Amplitude Plot and Phase Plot for following DT frequency response system using MATLAB.
• Modify existing code to generate Amplitude Plot and Phase Plot for following DT frequency response system.
• Plot amplitude response w.r.t. DT frequency Ω.
• Plot phase response w.r.t. DT frequency Ω.
• Use help in MATLAB to find the syntax for function.
• Include screen shot of your code and results in report.
• Describe the result in your own words.

High Pass Filter (HPF):

• How can you design DT HPF?
• How can you describe magnitude of HPF?

- Where is the peak (maximum gain / minimum loss)?

- Where will you place pole(s) or zero(s)???

INLAB Report (No 8):

• Generate Amplitude Plot and Phase Plot for following DT frequency response system using MATLAB.
• Modify existing code to generate Amplitude Plot and Phase Plot for following DT frequency response system.
• This time, consider using "freqz" function to define frequency response of system.
• Plot amplitude response w.r.t. DT frequency Ω.
• Plot phase response w.r.t. DT frequency Ω.
• Use help in MATLAB to find the syntax for function.
• Include screen shot of your code and results in report.
• Describe the result in your own words.

Attachment:- Assignment File.rar