1. For each of the following signals, indicate where (in Hz) the frequency components (mainly delta functions in the fre
Posted: Sun May 15, 2022 7:26 pm
1. For each of the following signals, indicate where (in Hz) the
frequency components (mainly delta functions in the frequency
domain) will appear in the Fourier spectrum if the signal is
digitized (sampled) at 1 kHz. (Notes: Some will have multiple
components. Consider both positive and negative frequencies
= = a. s(t) cos(27(100)t). b. s(t) = e2mi(100) t c. s(t) the-shift. It's there only to make the signal symmetric.) = square (21(99)t + ), where square generates a square wave. (Note: Don't overthink TT d. s(t) = cos(21(501)t) e. s(t) = e2nti(501)t = f. s(t) = cos(21(1000)t) g. s(t) = cos(21(3300)t)
1.8 1.6 1.4 s 1.2 0.8 0.6 0.4 0.2 0 0 0.05 0.1 0.15 02 0.25 Time (s) This plot shows all of the data. I.e., no data values are less than zero.
frequency components (mainly delta functions in the frequency
domain) will appear in the Fourier spectrum if the signal is
digitized (sampled) at 1 kHz. (Notes: Some will have multiple
components. Consider both positive and negative frequencies
= = a. s(t) cos(27(100)t). b. s(t) = e2mi(100) t c. s(t) the-shift. It's there only to make the signal symmetric.) = square (21(99)t + ), where square generates a square wave. (Note: Don't overthink TT d. s(t) = cos(21(501)t) e. s(t) = e2nti(501)t = f. s(t) = cos(21(1000)t) g. s(t) = cos(21(3300)t)
1.8 1.6 1.4 s 1.2 0.8 0.6 0.4 0.2 0 0 0.05 0.1 0.15 02 0.25 Time (s) This plot shows all of the data. I.e., no data values are less than zero.