Ql-a: A Digital Filter is defined by the difference equation y[n] = 0.99y[n - 1] + x[n] %! The filter is clearly recursive. Determine: 1. The kind of the filter (i.e. is it an IIR or FIR filter) and why? 2. The impulse response h(n). 3. Is the filter stable. 4. Would you classify it as Low Pass, Band Pass . or what?

Introductory Circuit Analysis (13th Edition)
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Q1-a: A Digital Filter is defined by the difference cquation yln) = 0.99y[n 1] + x[n) The filter s clearly recursive. Determine: 1. The kind of the filter (i e. is it an 1IR or FIR filter) and why? 2. The impulse response h{n]. 3. Isthe filter stable. 4. Would you classify it as Low Pass, Band Pass ... or what? Q1-b: A simple averaging filtr is defined as yinl =3 Gxln = 1)+ - Answer the following: et x[n=N])) 1. Is this filter FIR or lIR filter and why? ° 2. LetN = 4. Determine the transfer function, its zeros and poles.
Ql-a: A Digital Filter is defined by the difference equation
y[n] = 0.99y[n- 1] + x[n]
The filter is clearly recursive. Determine:
1. The kind of the filter (i.e. is it an IIR or FIR filter) and why?
2. The impulse response h(n].
3. Is the filter stable.
4. Would you classify it as Low Pass, Band Pass... or what?
Q1-b: A simple averaging filter is defined as
(IN - u)x
yln] =(x[n - 1) + .... . .+ x(n - N))
Answer the following:
1. Is this filter FIR or IIR filter and why?
2. Let N = 4. Determine the transfer function, its zeros and poles.
Transcribed Image Text:Ql-a: A Digital Filter is defined by the difference equation y[n] = 0.99y[n- 1] + x[n] The filter is clearly recursive. Determine: 1. The kind of the filter (i.e. is it an IIR or FIR filter) and why? 2. The impulse response h(n]. 3. Is the filter stable. 4. Would you classify it as Low Pass, Band Pass... or what? Q1-b: A simple averaging filter is defined as (IN - u)x yln] =(x[n - 1) + .... . .+ x(n - N)) Answer the following: 1. Is this filter FIR or IIR filter and why? 2. Let N = 4. Determine the transfer function, its zeros and poles.
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