Consider the signal x[n] = cos(rn) + sin(n). (a) Find the DTFS coefficients of a[n]. (b) Plot (by hand or use MATLAB) the power density spectrum (a plot of |ck|2 vs frequency) [n], and plot the phase spectrum (a plot of Zck vs frequency) of a[n]. In both plots, your horizontal (frequency) axis should range from 0 to 27 rad/sample.

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Consider the signal ax[n] = cos(n) + sin(n).
(a) Find the DTFS coefficients of x[n].
(b) Plot (by hand or use MATLAB) the power density spectrum (a plot of |ck|² vs frequency)
[n], and plot the phase spectrum (a plot of Zck vs frequency) of x[n]. In both plots,
your horizontal (frequency) axis should range from 0 to 27 rad/sample.
Transcribed Image Text:Consider the signal ax[n] = cos(n) + sin(n). (a) Find the DTFS coefficients of x[n]. (b) Plot (by hand or use MATLAB) the power density spectrum (a plot of |ck|² vs frequency) [n], and plot the phase spectrum (a plot of Zck vs frequency) of x[n]. In both plots, your horizontal (frequency) axis should range from 0 to 27 rad/sample.
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