Matlab problem: 1) A BFSK signal is transmitted through a channel with AWGN. Generate similar BFSK received signal plots as shown below. (20 pts) BFSK for eb=1 and npower=0.01 with 500 samples BFSK for eb=1 and npower=0.1 with 500 samples 2.5 2.5 2 1.5 1 0.5 0 -0.5 -1 2 1.5 1 0.5 0.5 -1 -1.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 2 2.5 -1.5 -0.5 0 0.5 1 1.5 2 2.5

Starting from the general expression of the frequency modulated wave, find out the expression of narrow band FM (NBFM).

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Question 2 (a) Briefly explain the advantage of the following Amplitude Modulation (AM) type and state ONE (1) application for each AM type: i. Double Sideband Full Carrier (DSBFC) ii. Double Sideband Suppressed Carrier (DSBSC) iii. Single Sideband (SSB). (b) The AM waveform for the modulated signal is illustrated in Figure 1. i. Calculate the percentage of modulation index, m. ii. State the type of the modulated signal. Justify the answer. iii. Write the equation for the modulated signal. iv. Calculate the percentage of power efficiency. 3V -1IV Figure 1

a.) The average signal power is Ps What is the minimum distance d for each signal constellation 1-4? b.) Let the noise power PN be a constant. Sort the constellations 1-4 on signal-to-noise ratio Ps and express the differences in signal-to-noise ratios in decibels. PN c.) Assume that the real and imaginary parts nī and no of the noise are independent. In d d d d P (n₁ ²2 ) = P ( nq > =/ ) = > =p 2 addition let P\n< where the minimum distance d is the same for all constellations 1-4. What is the symbol error probability for each constellation as a function of p where all symbols are equally probable? 1. 3. d d Im Re Re 2. 4. d d d d d 0 d 9 d Im d Re Re

[Q2] Illustrate the signal waveforms of PAM, PWM, and PPM in simple drawings. [Q3] Suppose (t) has the spectrum in the figure below, where f = 550kHz and € = 460kHz. Sketch Xs(f) for f. = 1.6MHz if ideal sampling is considered. X(f) AÏN -f f₁ + E 0 fu

A 10 MHz TXCO is driving a receiver’s front end and has a frequency deviation of 4 ppm.  It drives a direct down conversion RF front-end mixing the L2 frequency.  What is the frequency offset at baseband due to the TXCO?

Q2: A modulating signal is used to modulate a carrier signal(AM modulation). Let Pr , Pc, Psa. PusB, PLSB and u are the total power, carrier power, side band power, upper side band power, lower side band power and modulation index respectively. Prove the following: a. Pc = Pr () c. Pusp = Pasa =) P, 2+m2. b. PsB = Pr %3D 2+m2 2 (2+m2

78. To assure the same accuracy at both 100 Hz and 100 MHz, the signal level into a frequency counter must be A higher at 100 MHz B. higher at 100 Hz C. inductively coupled at 100 MHz and capacitively coupled at 100 Hz D. resistively coupled at 100 MHz and direct coupled at 100 Hz

Please, I do not want a theoretical solution or using artificial intelligence. I want a solution on paper using the mathematical laws of the topic