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A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.?
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A delta modulator system is designed to operate at four times the nyqu...
Understanding Delta Modulation
Delta modulation is a technique used in signal processing to encode analog signals into a digital format. The performance of a delta modulator is influenced by its sampling rate and quantization step size.
Nyquist Rate Calculation
- The Nyquist rate is twice the maximum frequency of the input signal.
- For a band-limited signal of 5 kHz, the Nyquist rate is 10 kHz.
- The system operates at four times the Nyquist rate:
- 4 * 10 kHz = 40 kHz.
Step Size and Slope Overload
- The quantizing step size is given as 75 mV (0.075 V).
- Slope overload distortion occurs when the input signal's rate of change exceeds the modulator's ability to accurately track it.
Maximum Allowable Amplitude Calculation
- To prevent slope overload, the maximum allowable amplitude (A) can be derived from the maximum slope of the signal the modulator can handle within the sampling interval.
- The maximum slope is dictated by the sampling period (Ts), which is the inverse of the sampling frequency (Fs):
- Ts = 1 / Fs = 1 / 40 kHz = 25 microseconds.
- The maximum slope (Δ) that can be accommodated is calculated as:
- Δ = Step Size / Ts = 0.075 V / 25 microseconds = 3000 V/s.
Maximum Input Signal Amplitude
- The maximum allowable amplitude (A) is determined by the maximum slope:
- A = Δ * Ts = 3000 V/s * 25 microseconds = 0.075 V.
Conclusion
- The maximum allowable amplitude of the input analog signal for which the delta modulator does not experience slope overload distortion is 0.075 V (75 mV). This ensures accurate tracking of the input signal without distortion.
Delta modulation is a technique used in signal processing to encode analog signals into a digital format. The performance of a delta modulator is influenced by its sampling rate and quantization step size.
Nyquist Rate Calculation
- The Nyquist rate is twice the maximum frequency of the input signal.
- For a band-limited signal of 5 kHz, the Nyquist rate is 10 kHz.
- The system operates at four times the Nyquist rate:
- 4 * 10 kHz = 40 kHz.
Step Size and Slope Overload
- The quantizing step size is given as 75 mV (0.075 V).
- Slope overload distortion occurs when the input signal's rate of change exceeds the modulator's ability to accurately track it.
Maximum Allowable Amplitude Calculation
- To prevent slope overload, the maximum allowable amplitude (A) can be derived from the maximum slope of the signal the modulator can handle within the sampling interval.
- The maximum slope is dictated by the sampling period (Ts), which is the inverse of the sampling frequency (Fs):
- Ts = 1 / Fs = 1 / 40 kHz = 25 microseconds.
- The maximum slope (Δ) that can be accommodated is calculated as:
- Δ = Step Size / Ts = 0.075 V / 25 microseconds = 3000 V/s.
Maximum Input Signal Amplitude
- The maximum allowable amplitude (A) is determined by the maximum slope:
- A = Δ * Ts = 3000 V/s * 25 microseconds = 0.075 V.
Conclusion
- The maximum allowable amplitude of the input analog signal for which the delta modulator does not experience slope overload distortion is 0.075 V (75 mV). This ensures accurate tracking of the input signal without distortion.
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A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.?
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A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.?.
A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A delta modulator system is designed to operate at four times the nyquist rate for an analog information signal band limited to 5 khz. The quantizing step size is 75 MV. determine the maximum allowable amplitude of input analog signal for which the Delta modulator doesn't experience slope overload distortion.?.
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