Problem 13-2 The Dirichlet form is given by (see Eq. (6.27) in the textbook) DL(f) sin(Lf) sin(f) For the case L 8, do the following. (a) Plot D8(f) over the range -1.5 << 1.5. Label all the zero crossings. (b) Determine the period and maximum magnitude of D8(f). (c) Determine the period of H(e2f) = D8(ƒ)e-j2x3.5f. Hint: It is easier to determine the period of H(ej2f) when it is in the form of a series in e2f obtained from the impulse response of the 8-point running-sum filter.

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Problem 13-2
The Dirichlet form is given by (see Eq. (6.27) in the textbook)
DL(f)
sin(Lf)
sin(f)
For the case L 8, do the following.
(a) Plot D8(f) over the range -1.5 << 1.5. Label all the zero crossings.
(b) Determine the period and maximum magnitude of D8(f).
(c) Determine the period of H(e2f) = D8(ƒ)e-j2x3.5f. Hint: It is easier to determine the period
of H(ej2f) when it is in the form of a series in e2f obtained from the impulse response of the
8-point running-sum filter.
Transcribed Image Text:Problem 13-2 The Dirichlet form is given by (see Eq. (6.27) in the textbook) DL(f) sin(Lf) sin(f) For the case L 8, do the following. (a) Plot D8(f) over the range -1.5 << 1.5. Label all the zero crossings. (b) Determine the period and maximum magnitude of D8(f). (c) Determine the period of H(e2f) = D8(ƒ)e-j2x3.5f. Hint: It is easier to determine the period of H(ej2f) when it is in the form of a series in e2f obtained from the impulse response of the 8-point running-sum filter.
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