Question

I want a solution, please

We wish to use the Kaiser window method to design a discrete-time filter with generalized linear phase that meets specifications of the following form:|H(ejw)I =< 0.01, 0 =< w =< 0.25n,
0.95 =< |H(ejw) < 1.05, 0.35n =< lwl =< 0.6n,
|H(ejw) =< 0.01, 0.65n =< lw| =< n.
(a) Determine the minimum length (M+ 1) of the impulse response and the value of the Kaiser window parameter B for a filter that meets the preceding specifications. (b) What is the delay of the filter? (c) Determine the ideal impulse response ha[n] to which the Kaiser window should be applied.
* n mean by = 3.14
=< mean < or equale

Answer 1

Solution:

Givendata:

We wish to use the Kaiser window method to design a discrete-time filter with generalized linear phase that meets specifications of the following form:|H(ejw)I =< 0.01, 0 =< w =< 0.25n,
0.95 =< |H(ejw) < 1.05, 0.35n =< lwl =< 0.6n,
|H(ejw) =< 0.01, 0.65n =< lw| =< n

Answer:

(a)

.

For Passband:

So,

For Stopband:

.

So,

Choose such that, .

And

Choose the minimum one. So,

Attenuation:

As,,

Kaiser window parameter can be calculated as:

Minimum length:

As

Minimum Length = 91

(b)

Now,

So, the delay of the filter is by 45 samples.

(c)

So, Ideal Impulse Response:

Graphical Representation:

NOTE: n = 3.14 is pre-applied before all the calculations.

PLEASE GIVEME THUMBUP ME.............