The TFS for an arbitrary signal, x(t), where To=1 ms, is given by ((300n)×(-1)") *(-¹²) si x(t): = 10+ n=1 400 3n-5 cos (nat)+) n=1 n² +1 sin (not) Furthermore, it is passed through an ideal filter, wherein magnitude and phase are neither amplified nor attenuated up to and including 2kHz, whereas all other harmonics are annihilated. F=2KH ===> -36.96 Sketch the spectrum of the output signal's EFS, both magnitude (dB, with significant digit of 1 dB) and phase (degrees, with significant digit of 1 degree) including DC. Recall, dB = 20log10 (magnitude). Label, and place numerical values on your axes and elsewhere, not just a quick sketch! | Prld B 20 1 ALPn (0°) 2 nwo nwo

1. Use the defining equation for the DTFS coefficients to evaluate the DTFS representation for the following signals: a) x[n] = cos( 67 n+ 3 *Do not sketch the magnitude and phase 10n b) x[n] = sinn) + cos(n) + 1 *please sketch the magnitude and phase

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Follow the steps to sketch the magnitude characteristic of the Bode plot for the following transfer function. H(jw) c. Simple Zeros d. Simple Poles = Select all terms contained in the transfer function in addition to the constant term. a. Zeros at the Origin b. Poles at the Origin e. Quadratic Zeros f. Quadratic Poles 1000 (ja + 10) (jw +50) (jw + 200)