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5. A signal contains the following frequencies, 100 Hz, 247 Hz, and 750 Hz. What is...
02. a) What is Nyquist's theorem? b) An ECG signal contains c 2. What is the minimum frequency at which the sig alog converter (ADC) has a step size of 0.0075V and a fu timum quantization erro...
02. a) What is Nyquist's theorem? b) An ECG signal contains c 2. What is the minimum frequency at which the sig alog converter (ADC) has a step size of 0.0075V and a fu timum quantization error for this ADC if the ECG signal ranges signal is samples at 80 samples/second. What frequency will be "alia to 100 Hz, although no contains components with frequencies up ained at frequencies above 40 Hz. the min (1 Mark) C) A certain digital-to-analog...
consider a PCM encoder that accepts a signal with full scale voltage of 25V. The maximum...
consider a PCM encoder that accepts a signal with full scale voltage of 25V. The maximum actual quantized voltage is 24.99923706 for uniform quantization. Do not round the numbers. Go up to 9 decimal places. a. Calculate the number of bits used for quantization b. Calculate the number of quantized levels c. Calculate the normalized step size d. Calculate the actual step size e. Calculate the maximum normalized quantized voltage f. Calculate the normalized resolution g. If this encoder operates...
(5) A PCM system encodes samples using an 8-bit ADC. In the case of peak signal...
(5) A PCM system encodes samples using an 8-bit ADC. In the case of peak signal amplitude, estimate the signal to quantization noise ratio in dB (6) The output SQNR of a 10-bit PCM was found to be insufficient at 30 dB. To achieve the desired SQNR of 42 dB, an increase to the number of quantization levels was needed. Determine the fractional increase in the transmission bandwidth required. (7) A signal x(t) band-limited to 3kHz is sampled at a...
Q2) A unipolar 14 bit ADC measures 0 – 8 volts full scale. a. What is...
Q2) A unipolar 14 bit ADC measures 0 – 8 volts full scale. a. What is the minimum resolvable voltage (or voltage resolution)? [Hint: resolution decrease as you increase the volts full scale] b. What is the percent quantization error? [Hint: percent quantization error for unipolar 10 bit ADC, 1 V full scale is: (resolution/max voltage) x100% or (975μV/1V) x100% = 0.0975%] c. What is the percent quantization error if a 1 volt max signal is input? [Hint: same resolution...
3. With the aid of a diagram, briefly explain th ing principle of a Successive a) Approximation Analog-to-Digital Conve...
3. With the aid of a diagram, briefly explain th ing principle of a Successive a) Approximation Analog-to-Digital Converter (ADC) b) An ADC has to be designed to convert voltages in the range from -5 V to +5 V, with a resolution below (better than) 1 mV. What is the minimum number of bits required to meet this design specification? An ADC has to be designed to convert input voltage signals with frequency c) components less than or equal o...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
sa Date: Apr. 10, 2019 An 8-bit ADC has an input analog range of +5 volts....
sa Date: Apr. 10, 2019 An 8-bit ADC has an input analog range of +5 volts. The analog input signal is t)4 cos (7000Tt). The converter samples the input signal at 8 ksam/s and supplies data to computer 64 kbits/s. The computer re- construct the transmitted signal, x,(C), by using an ideal DAC on the received signal. Determine: (a) The quantizer resolution (or step) (b) Mean squared quantization error (noise) power (c) The folding frequency (d) The reconstructed signal x,...
Problem 1: Signal conditioning and ADC Given the measurement of voltage sensor in the first 20 ms that involving a seve...
Problem 1: Signal conditioning and ADC Given the measurement of voltage sensor in the first 20 ms that involving a several noises causes a drift in measurement. The measurement signal fluctuates with time as a sine wave [sin(wt), ω in rad/s, t in ms] which can be approximately divided into four sections as in the following table Section I Section II on III 9St<13.2 Section IV Time (ms)OSt<5.5 Signal (volt) V-0.5+0.1 5.5 St<9 13.2 Sts20.5 V-0.6+0.1 V-0.55+0.1 V-0.65+0.1 sin(3.41x 103t)...
Exercise 6: Consider an audio signal with an amplitude that ranges over the interval [-10,10] and...
Communication systems theory:
Exercise 6: Consider an audio signal with an amplitude that ranges over the interval [-10,10] and with spectral components limited to the frequency band of 300 Hz to 3300 Hz. The signal is sampled at a rate of 8000 samples/second and used to generate a PCM signal. The signal-to-quantization- noise ratio (SQNR) is required to be maintained at 43.9 dB a) What is the minimum number of uniform quantization levels needed, and what is the minimum number...
Filter A beam vibrates at 100 Hz. The vibrations are measured with a strain gage and...
Filter A beam vibrates at 100 Hz. The vibrations are measured with a strain gage and Wheatstone bridge. The output voltage of the sensor is Vout = 2V s€, with Vs = 5.00 V the supply voltage and € = 8L/L the strain. The strain is in the range of +5 x 10-4. In addition, you know that: there is noise on the input: fnoise = 40,000Hz with amplitude 0.100 mV. The output is sent to your NI USB-6008 DAQ...
02. a) What is Nyquist's theorem? b) An ECG signal contains c 2. What is the minimum frequency at which the sig alog converter (ADC) has a step size of 0.0075V and a fu timum quantization error for this ADC if the ECG signal ranges signal is samples at 80 samples/second. What frequency will be "alia to 100 Hz, although no contains components with frequencies up ained at frequencies above 40 Hz. the min (1 Mark) C) A certain digital-to-analog...
(5) A PCM system encodes samples using an 8-bit ADC. In the case of peak signal amplitude, estimate the signal to quantization noise ratio in dB (6) The output SQNR of a 10-bit PCM was found to be insufficient at 30 dB. To achieve the desired SQNR of 42 dB, an increase to the number of quantization levels was needed. Determine the fractional increase in the transmission bandwidth required. (7) A signal x(t) band-limited to 3kHz is sampled at a...
3. With the aid of a diagram, briefly explain th ing principle of a Successive a) Approximation Analog-to-Digital Converter (ADC) b) An ADC has to be designed to convert voltages in the range from -5 V to +5 V, with a resolution below (better than) 1 mV. What is the minimum number of bits required to meet this design specification? An ADC has to be designed to convert input voltage signals with frequency c) components less than or equal o...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
sa Date: Apr. 10, 2019 An 8-bit ADC has an input analog range of +5 volts. The analog input signal is t)4 cos (7000Tt). The converter samples the input signal at 8 ksam/s and supplies data to computer 64 kbits/s. The computer re- construct the transmitted signal, x,(C), by using an ideal DAC on the received signal. Determine: (a) The quantizer resolution (or step) (b) Mean squared quantization error (noise) power (c) The folding frequency (d) The reconstructed signal x,...
Problem 1: Signal conditioning and ADC Given the measurement of voltage sensor in the first 20 ms that involving a several noises causes a drift in measurement. The measurement signal fluctuates with time as a sine wave [sin(wt), ω in rad/s, t in ms] which can be approximately divided into four sections as in the following table Section I Section II on III 9St<13.2 Section IV Time (ms)OSt<5.5 Signal (volt) V-0.5+0.1 5.5 St<9 13.2 Sts20.5 V-0.6+0.1 V-0.55+0.1 V-0.65+0.1 sin(3.41x 103t)...
Communication systems theory:
Exercise 6: Consider an audio signal with an amplitude that ranges over the interval [-10,10] and with spectral components limited to the frequency band of 300 Hz to 3300 Hz. The signal is sampled at a rate of 8000 samples/second and used to generate a PCM signal. The signal-to-quantization- noise ratio (SQNR) is required to be maintained at 43.9 dB a) What is the minimum number of uniform quantization levels needed, and what is the minimum number...
Filter A beam vibrates at 100 Hz. The vibrations are measured with a strain gage and Wheatstone bridge. The output voltage of the sensor is Vout = 2V s€, with Vs = 5.00 V the supply voltage and € = 8L/L the strain. The strain is in the range of +5 x 10-4. In addition, you know that: there is noise on the input: fnoise = 40,000Hz with amplitude 0.100 mV. The output is sent to your NI USB-6008 DAQ...
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