The input voltage to the terminals of the circuit shown in Fig. P1.1 is v(t) = 7.5cos (2t - 122°) +2.2cos (6r- 102°) + 1.3cos (10r-97°) +0.91cos (14t-95°) V i(t) i₁(1) (a) What is the fundamental angular frequency? (b) (i) What is the output fundamental maximum voltage, Vol? (c) (i) (d) (i) (a) () 11/1 What is the output 3rd harmonic maximum voltage, V03? What is the output 5th harmonic maximum voltage, Vos?¹() 054 2224 www 1 F 192 123
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
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![The input voltage to the terminals of the circuit shown in Fig. Pl.1 is
v(t) = 7.5cos (2t - 122°) +2.2cos (6t - 102°) + 1.3cos (101-97°) + 0.91cos (14t-95°) V
i(1)
(a) What is the fundamental angular frequency?
(b) (i) What is the output fundamental maximum voltage, Vol?
(c) (i) What is the output 3rd harmonic maximum voltage, V03?
(d) (i) What is the output 5th harmonic maximum voltage, Vos?()
What is the output 7th harmonic maximum voltage, Vo7?
Determine the complex fundamental component of the
output voltage Vo(@b).
(e) (i)
05
(f) (i)
222
ww
ij(t) 192
Fig. P1.1
(ii) Determine the complex 3rd harmonic component of the output voltage Vo(3ab).
(iii) Determine the complex 5th harmonic component of the output voltage Vo(5ab).
(iv) Determine the complex 7th harmonic component of the output voltage Vo(706).
1 F
122 (1)
(g) Determine the time-varying output voltage vo(t)?
(h) (i) Determine the time-varying input current i(t)? (ii) Determine the time-varying current i, (t)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F439cb16b-7037-42a4-9bb8-81e5998fb544%2F6c743038-de60-4fb0-9cf4-e627019fdebf%2F3uiq2ww_processed.jpeg&w=3840&q=75)
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