Consider a QASK (QAM) signal v(t)=√2k, cos(2#fot) + √k,sin (2nfot) where ((-1,-1) (-1,0) (-1,1) (k₁, k₂) E (0,-1) (0,1) (1,-1) (1,0) (1,1) Thus, each of eight symbols represent 3 bits with bit period of T = 3 seconds. (a) Write v(t) in terms of u₁ and u₂ where u,(t) = cos(2πfot) and u₂(t)=sin(2 fot) with symbol period T (b) Draw symbols in the signal space of (u, (t), u₂(t)) (c) For symbols determine average symbol energy E, and symbol distance,

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Consider a QASK (QAM) signal v(t) = √2k, cos(2nfot) + √žksin (2mfat) where
((-1,-1)
(-1,0)
(-1,1)
(k₁, k₂) (0-1)
(0,1)
(1,-1)
(1,0)
(1,1)
Thus, each of eight symbols represent 3 bits with bit period of T, = 3 seconds.
(a) Write v(t) in terms of u, and u₂ where u, (t) = √cos (2n fot) and u₂(t) = sin(2n fot) with
symbol period 7,
(b) Draw symbols in the signal space of (u₂ (t), u₂(t))
(c) For symbols determine average symbol energy E, and symbol distance.
(d) Determine symbol power and bandwidth.
Transcribed Image Text:Consider a QASK (QAM) signal v(t) = √2k, cos(2nfot) + √žksin (2mfat) where ((-1,-1) (-1,0) (-1,1) (k₁, k₂) (0-1) (0,1) (1,-1) (1,0) (1,1) Thus, each of eight symbols represent 3 bits with bit period of T, = 3 seconds. (a) Write v(t) in terms of u, and u₂ where u, (t) = √cos (2n fot) and u₂(t) = sin(2n fot) with symbol period 7, (b) Draw symbols in the signal space of (u₂ (t), u₂(t)) (c) For symbols determine average symbol energy E, and symbol distance. (d) Determine symbol power and bandwidth.
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