Problem 3. (6%) Consider a To periodic pulse shape: + cos(8nt)(k – 1). To
Posted: Wed Mar 30, 2022 9:49 am
Problem 3. (6%) Consider a To periodic pulse shape: + cos(8nt)(k – 1). To <t< (k – 1) · To +0.25 91(t) = (k - 1). To +0.25 <t<k. To for all k € Z; where To > 0.25 is a real number. (a) Sketch the signal waveform by hand. (b) Show that the Fourier series coefficients ak's are 1 1 e-j2fo/4 1 -2 (4-kſo)/4 1-e-j2 (4+kſo)/4 + + To j2kfo j4% (k fo - 4) j4 (4+kfo) ak
Posted: Wed Mar 30, 2022 9:49 am
Problem 3. (6%) Consider a To periodic pulse shape: + cos(8nt)(k – 1). To <t< (k – 1) · To +0.25 91(t) = (k - 1). To +0.25 <t<k. To for all k € Z; where To > 0.25 is a real number. (a) Sketch the signal waveform by hand. (b) Show that the Fourier series coefficients ak's are 1 1 e-j2fo/4 1 -2 (4-kſo)/4 1-e-j2 (4+kſo)/4 + + To j2kfo j4% (k fo - 4) j4 (4+kfo) ak