# Question Please show details in this problem P-3.17 The two-sided spectrum representation of a real-valued signal x (t) is shown below (frequency in Hz): 11/2/5 Ile-/2/5 II l II. 7/3/5 7e-8a/ -180 -105 105 180 Figure P-3.17 (a) Determine the fundamental frequency (in Hz) for x (t). (b) Write the formula for x(1) as a sum of real-valued sinusoids. (c) The signal x2(t) = x(+ - 0.05) is a time-delayed version of x (1). Determine the spectrum of x2(1). Simplify the numerical values for the complex amplitudes, so that the phases lie in (-1,1). (d) A third signal is defined as x3 (t) = X(t)e/21077. This new signal is complex-valued, and it has a nonzero DC component. Determine the complex amplitude for the DC component of x3(t).

T3IZ26 The Asker · Electrical Engineering
Please show details in this problem

Transcribed Image Text: P-3.17 The two-sided spectrum representation of a real-valued signal x (t) is shown below (frequency in Hz): 11/2/5 Ile-/2/5 II l II. 7/3/5 7e-8a/ -180 -105 105 180 Figure P-3.17 (a) Determine the fundamental frequency (in Hz) for x (t). (b) Write the formula for x(1) as a sum of real-valued sinusoids. (c) The signal x2(t) = x(+ - 0.05) is a time-delayed version of x (1). Determine the spectrum of x2(1). Simplify the numerical values for the complex amplitudes, so that the phases lie in (-1,1). (d) A third signal is defined as x3 (t) = X(t)e/21077. This new signal is complex-valued, and it has a nonzero DC component. Determine the complex amplitude for the DC component of x3(t).
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Transcribed Image Text: P-3.17 The two-sided spectrum representation of a real-valued signal x (t) is shown below (frequency in Hz): 11/2/5 Ile-/2/5 II l II. 7/3/5 7e-8a/ -180 -105 105 180 Figure P-3.17 (a) Determine the fundamental frequency (in Hz) for x (t). (b) Write the formula for x(1) as a sum of real-valued sinusoids. (c) The signal x2(t) = x(+ - 0.05) is a time-delayed version of x (1). Determine the spectrum of x2(1). Simplify the numerical values for the complex amplitudes, so that the phases lie in (-1,1). (d) A third signal is defined as x3 (t) = X(t)e/21077. This new signal is complex-valued, and it has a nonzero DC component. Determine the complex amplitude for the DC component of x3(t).