A signal of Vs = 5 sin (2πt/10 + π) V with added noise of Vs...
A signal of Vs = 5 sin (2πt/10 + π) V with added noise of Vs = 0.4 sin (2πt/0.1 + π) V, if the signal is sampled at 7 Hz has the noise been removed?
Homework Answers
The frequency of noise signal is 10Hz.
As per Nyquist theorem, the sampling frequency is twice that of the input signal.
Since we sampled the input signal at 7Hz, the noise is lost in the sampling process.
1 Cascaded Amplifiers Consider a signal vs = V, sin wt, whe der a signal, =...
1 Cascaded Amplifiers Consider a signal vs = V, sin wt, whe der a signal, = V, sin wt, where V. 50.00 mV and w = 27 (45.00 Hz). The signal resistance is Rs e have an arbitrary collection of resistors, as well as current amplifiers with Ais = 10.00 mA/mA, 0.00 k2, and R. = 200.0k Design a circuit to amplify the signal with a gain of 25.00. [10 marks]
An analog signal, bandlimited to 10 Hz is corrupted by high-frequency noise. The spectrum of the...
An analog signal, bandlimited to 10 Hz is corrupted by high-frequency noise. The spectrum of the noise is from 30 Hz to 50 Hz. The noisy analog signal is sampled at 70 Hz. A digital lowpass filter is to be designed so as to remove the noise from the signal. For the filter design problem, what would you choose for the desired frequency response D(?)? Sketch the function for 0 ? ? ? ? where ? is normalized frequency (radians/sample)....
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of t...
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
For an analog signal E(t) = 4 + 2 sin 47t + 3 sin 16t V...
For an analog signal E(t) = 4 + 2 sin 47t + 3 sin 16t V which sampled at a sample rate of 32 Hz. What are the criteria to properly construct its discrete time series. Discuss the results when using fs = 16 Hz and at fs = 45 Hz.
5) given the following PM modulated signal equation, determine the original message equation, m(t) . s(t)=...
5) given the following PM modulated signal equation, determine the original message equation, m(t) . s(t)= 3.5cos(2π2E9t + 0.5cos(2π6000t)), Kp=0.1 (hz/v) a) m(t)=0.16cos(2π6000t) b) m(t) = 5cos(2π6E3t) c) m(t) = 5cos(2π2E9t) d) m(t) = 0.16cos(2π2.4E9t) 6) given the following message and carrier waves. Determine the AM signal equation and (DSB-LC) bandwidth: m(t) =2sin(2π10KHz*t). c(t) =3sin(2π2.4E9Hz*t) a) 5[1+0.6sin(200πt)]sin(2π10E9t), BW=10kHz b) 3[1+0.67 sin(2π10E3t)]sin(2π2.4E9t), BW=20kHz c) 3[1+0.6sin(2.4GHz*πt)]sin(2π10E3Hz*t), BW=20kHz d) 3[1+1.67 sin(2π50t)]sin(2π10E9tt), BW=10kHz 7) amplitude used in a communication path will increase both signal...
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is...
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is modeled as a WSS random process with PSD S,(f). Let Y(t) denote the random noise process at the output of the filter. A linea filsee Figure 1: The Filter. (T) Je Sinc 1. Find the frequency response, H(f), of the filter. 2. If X(t) is a white noise process with PSD No/2, find the PSD of the noise precess Y(t). 2- f 3. Is...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
*5. Suppose an analog signal has an absolute bandwidth of 10 KHz. It is sampled at...
*5. Suppose an analog signal has an absolute bandwidth of 10 KHz. It is sampled at the Nyquist rate and converted to a digital signal using an A/D converter such that the output signal-to-quantization noise ratio is at least 40 dB. Using your engineering judgment, choose the number of bits for the A/D converter and determine the bit rate (i.e., the number of bits/sec).
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a functi...
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
1 Cascaded Amplifiers Consider a signal vs = V, sin wt, whe der a signal, = V, sin wt, where V. 50.00 mV and w = 27 (45.00 Hz). The signal resistance is Rs e have an arbitrary collection of resistors, as well as current amplifiers with Ais = 10.00 mA/mA, 0.00 k2, and R. = 200.0k Design a circuit to amplify the signal with a gain of 25.00. [10 marks]
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
For an analog signal E(t) = 4 + 2 sin 47t + 3 sin 16t V which sampled at a sample rate of 32 Hz. What are the criteria to properly construct its discrete time series. Discuss the results when using fs = 16 Hz and at fs = 45 Hz.
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is modeled as a WSS random process with PSD S,(f). Let Y(t) denote the random noise process at the output of the filter. A linea filsee Figure 1: The Filter. (T) Je Sinc 1. Find the frequency response, H(f), of the filter. 2. If X(t) is a white noise process with PSD No/2, find the PSD of the noise precess Y(t). 2- f 3. Is...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
*5. Suppose an analog signal has an absolute bandwidth of 10 KHz. It is sampled at the Nyquist rate and converted to a digital signal using an A/D converter such that the output signal-to-quantization noise ratio is at least 40 dB. Using your engineering judgment, choose the number of bits for the A/D converter and determine the bit rate (i.e., the number of bits/sec).
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
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