Hi pls help h to k, need this urgently. Accurate answers pls and upvote guaranteed.
Posted: Sun May 15, 2022 2:51 pm
Hi pls help h to k, need this urgently. Accurate answers pls and
upvote guaranteed.
A small portion of a causal piecewise continuous periodic signal (t) = 2(t+nT) is shown in Figure Q1 below. x(t) [V]1 А - 1 b T T ЗТ t[ms] - 2 2 -A = Figure Q1: A Piecewise continuous periodic waveform z(t) = 2(t+nT). For the rest of this question, the period of the signal T = 100 ms, A = 7V, and b = 2. Answer all parts of this question. The use of mathematical software, such as MATLAB, is permitted. Round all numerical answers to 3 significant figures unless otherwise advised.
Q1(iv) Line spectra and their applications The exponential Fourier series coefficients Cek > 0, k odd, for the signal shown in Figure Q1 are given by jA(6+1) Ck kb The coefficients CK=0 fork even. It will be convenient to pre-compute the constant A(6+1) ba so that Ck - = " h) What is y for the signal shown in Figure Q1? Round your answer to 3 significant figures. Submit part 1 mark Unanswered
Use the following definitions, the value you computed for Co and the expressions y and for Ck given above, to answer the questions that follow. Power Spectrum The power spectrum of a periodic signal is the sequence of average powers in each complex harmonic is given by |C/?. For real periodic signals the power spectrum is a real even sequence as 1C_{=0:12 = |CK/?. = Parseval's Theorem Parseval's theorem states that the power in a periodic signal is given by: 00 P--S "ey de - 165/" = = e-00 i) Compute the power (PW) in the first seven harmonics of the signal shown in Figure Q1. POD W Submit part 2 marks Unanswered
RMS Power By a similar argument, the RMS power is given by: PRMS = VEL" 18+)? dt = Σ IC2. 00 j) Compute the RMS power (PRMS W) in the first seven harmonics of the signal shown in Figure Q1. PRMS W I Submit part 1 mark Unanswered Total Harmonic Distortion (THD) THD is defined as the ratio of the RMS value for all the harmonics fork >1 (the distortion) to the RMS of the fundamental which is 1/2101? V EICHT? THD = 100% C k) Compute the percentage THD in the first seven harmonics of the signal shown in Figure Q1. THDAY
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Q1(iv) Line spectra and their applications The exponential Fourier series coefficients Cek > 0, k odd, for the signal shown in Figure Q1 are given by jA(6+1) Ck kb The coefficients CK=0 fork even. It will be convenient to pre-compute the constant A(6+1) ba so that Ck - = " h) What is y for the signal shown in Figure Q1? Round your answer to 3 significant figures. Submit part 1 mark Unanswered
Use the following definitions, the value you computed for Co and the expressions y and for Ck given above, to answer the questions that follow. Power Spectrum The power spectrum of a periodic signal is the sequence of average powers in each complex harmonic is given by |C/?. For real periodic signals the power spectrum is a real even sequence as 1C_{=0:12 = |CK/?. = Parseval's Theorem Parseval's theorem states that the power in a periodic signal is given by: 00 P--S "ey de - 165/" = = e-00 i) Compute the power (PW) in the first seven harmonics of the signal shown in Figure Q1. POD W Submit part 2 marks Unanswered
RMS Power By a similar argument, the RMS power is given by: PRMS = VEL" 18+)? dt = Σ IC2. 00 j) Compute the RMS power (PRMS W) in the first seven harmonics of the signal shown in Figure Q1. PRMS W I Submit part 1 mark Unanswered Total Harmonic Distortion (THD) THD is defined as the ratio of the RMS value for all the harmonics fork >1 (the distortion) to the RMS of the fundamental which is 1/2101? V EICHT? THD = 100% C k) Compute the percentage THD in the first seven harmonics of the signal shown in Figure Q1. THDAY