Communications –
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#1. An AM transmitter uses carrier amplitude 15 V and modulating amplitude 2 V. What is the modulation index m?

#2. An AM transmitter uses carrier amplitude 8 V and modulating amplitude 4 V. What is the modulation index m?

#3. An AM transmitter uses carrier amplitude 8 V and modulating amplitude 3 V. What is the modulation index m?

#4. An AM transmitter uses carrier amplitude 10 V and modulating amplitude 6 V. What is the modulation index m?

#5. An AM transmitter uses carrier amplitude 20 V and modulating amplitude 5 V. What is the modulation index m?

#6. An AM transmitter uses carrier amplitude 12 V and modulating amplitude 8 V. What is the modulation index m?

#7. A conventional AM station has carrier power 1200 W and modulation index 0.6. Estimate total transmitted power.

#8. A conventional AM station has carrier power 800 W and modulation index 0.8. Estimate total transmitted power.

#9. A conventional AM station has carrier power 1500 W and modulation index 0.4. Estimate total transmitted power.

#10. A conventional AM station has carrier power 800 W and modulation index 0.8. Estimate total transmitted power.

#11. A conventional AM station has carrier power 800 W and modulation index 0.6. Estimate total transmitted power.

#12. A conventional AM station has carrier power 1200 W and modulation index 0.3. Estimate total transmitted power.

#13. An AM voice channel has highest modulating frequency 2 kHz. What RF bandwidth is required?

#14. An AM voice channel has highest modulating frequency 2 kHz. What RF bandwidth is required?

#15. An AM voice channel has highest modulating frequency 8 kHz. What RF bandwidth is required?

#16. An FM broadcast signal has peak deviation 50 kHz and maximum audio frequency 12 kHz. Use Carson’s rule to estimate bandwidth.

#17. An FM broadcast signal has peak deviation 60 kHz and maximum audio frequency 10 kHz. Use Carson’s rule to estimate bandwidth.

#18. In an FM telemetry link, frequency deviation is ±45 kHz and modulating frequency is 10 kHz. Find deviation ratio β.

#19. In an FM telemetry link, frequency deviation is ±60 kHz and modulating frequency is 3 kHz. Find deviation ratio β.

#20. In an FM telemetry link, frequency deviation is ±60 kHz and modulating frequency is 15 kHz. Find deviation ratio β.

#21. A PCM system samples at 10 ksample/s using 8-bit quantization. What is the serial bit rate (before line coding)?

#22. A PCM system samples at 8 ksample/s using 7-bit quantization. What is the serial bit rate (before line coding)?

#23. A PCM system samples at 16 ksample/s using 7-bit quantization. What is the serial bit rate (before line coding)?

#24. A uniform PCM quantizer uses 7 bits per sample. How many quantization levels are available?

#25. For an ideal n-bit PCM quantizer with n = 8, estimate SQNR using 6.02n + 1.76 dB.

#26. A periodic signal in a communication test has period T = 2 ms. What is the fundamental frequency?

#27. A periodic signal in a communication test has period T = 1 ms. What is the fundamental frequency?

#28. A periodic signal in a communication test has period T = 1 ms. What is the fundamental frequency?

#29. A periodic signal in a communication test has period T = 10 ms. What is the fundamental frequency?

#30. A periodic signal in a communication test has period T = 4 ms. What is the fundamental frequency?

#31. A periodic signal in a communication test has period T = 1 ms. What is the fundamental frequency?

#32. A periodic signal in a communication test has period T = 1 ms. What is the fundamental frequency?

#33. For a periodic waveform with period 10 ms, determine the fundamental angular frequency ω0.

#34. For a periodic waveform with period 10 ms, determine the fundamental angular frequency ω0.

#35. For a periodic waveform with period 4 ms, determine the fundamental angular frequency ω0.

#36. For a periodic waveform with period 10 ms, determine the fundamental angular frequency ω0.

#37. For a periodic waveform with period 16 ms, determine the fundamental angular frequency ω0.

#38. For a periodic waveform with period 8 ms, determine the fundamental angular frequency ω0.

#39. A Fourier series has fundamental frequency 1000 Hz. What is the frequency of the 3th harmonic?

#40. A Fourier series has fundamental frequency 50 Hz. What is the frequency of the 5th harmonic?

#41. A Fourier series has fundamental frequency 200 Hz. What is the frequency of the 5th harmonic?

#42. A Fourier series has fundamental frequency 100 Hz. What is the frequency of the 2th harmonic?

#43. A unipolar periodic pulse train has amplitude 4 V and duty cycle 60%. What is its DC (average) Fourier component?

#44. A unipolar periodic pulse train has amplitude 12 V and duty cycle 75%. What is its DC (average) Fourier component?

#45. A unipolar periodic pulse train has amplitude 4 V and duty cycle 25%. What is its DC (average) Fourier component?

#46. A unipolar periodic pulse train has amplitude 8 V and duty cycle 60%. What is its DC (average) Fourier component?

#47. A baseband rectangular pulse has width τ = 100 μs. Approximate the first spectral null frequency of its sinc spectrum.

#48. A baseband rectangular pulse has width τ = 40 μs. Approximate the first spectral null frequency of its sinc spectrum.

#49. A baseband rectangular pulse has width τ = 50 μs. Approximate the first spectral null frequency of its sinc spectrum.

#50. A baseband rectangular pulse has width τ = 100 μs. Approximate the first spectral null frequency of its sinc spectrum.

#51. A synchronous TDM trunk combines 24 channels, each at 32 kb/s. Ignoring framing bits, what is total line rate?

#52. A synchronous TDM trunk combines 30 channels, each at 64 kb/s. Ignoring framing bits, what is total line rate?

#53. A synchronous TDM trunk combines 12 channels, each at 96 kb/s. Ignoring framing bits, what is total line rate?

#54. A synchronous TDM trunk combines 24 channels, each at 56 kb/s. Ignoring framing bits, what is total line rate?

#55. A synchronous TDM trunk combines 30 channels, each at 56 kb/s. Ignoring framing bits, what is total line rate?

#56. A synchronous TDM trunk combines 12 channels, each at 96 kb/s. Ignoring framing bits, what is total line rate?

#57. A synchronous TDM trunk combines 30 channels, each at 32 kb/s. Ignoring framing bits, what is total line rate?

#58. A synchronous TDM trunk combines 20 channels, each at 32 kb/s. Ignoring framing bits, what is total line rate?

#59. A synchronous TDM trunk combines 30 channels, each at 128 kb/s. Ignoring framing bits, what is total line rate?

#60. A PCM-TDM system multiplexes 32 voice channels. Each channel is sampled at 12 ksample/s with 10 bits/sample. Find aggregate bit rate (ignore overhead).

#61. A PCM-TDM system multiplexes 32 voice channels. Each channel is sampled at 8 ksample/s with 12 bits/sample. Find aggregate bit rate (ignore overhead).

#62. A PCM-TDM system multiplexes 32 voice channels. Each channel is sampled at 12 ksample/s with 12 bits/sample. Find aggregate bit rate (ignore overhead).

#63. A PCM-TDM system multiplexes 24 voice channels. Each channel is sampled at 16 ksample/s with 12 bits/sample. Find aggregate bit rate (ignore overhead).

#64. A PCM-TDM system multiplexes 32 voice channels. Each channel is sampled at 16 ksample/s with 12 bits/sample. Find aggregate bit rate (ignore overhead).

#65. A PCM-TDM system multiplexes 32 voice channels. Each channel is sampled at 16 ksample/s with 10 bits/sample. Find aggregate bit rate (ignore overhead).

#66. An FDM link carries 8 channels of 30 kHz each with 3 kHz guard bands between adjacent channels. What is total allocated bandwidth?

#67. An FDM link carries 8 channels of 12.5 kHz each with 2 kHz guard bands between adjacent channels. What is total allocated bandwidth?

#68. An FDM link carries 12 channels of 12.5 kHz each with 3 kHz guard bands between adjacent channels. What is total allocated bandwidth?

#69. An FDM link carries 8 channels of 30 kHz each with 2 kHz guard bands between adjacent channels. What is total allocated bandwidth?

#70. An FDM link carries 10 channels of 25 kHz each with 1 kHz guard bands between adjacent channels. What is total allocated bandwidth?

#71. An FDM link carries 10 channels of 20 kHz each with 2 kHz guard bands between adjacent channels. What is total allocated bandwidth?

#72. In a DSSS-CDM system, chip rate is 5 Mcps and user data rate is 19.2 kb/s. Estimate processing gain Gp = Rc/Rb.

#73. In a DSSS-CDM system, chip rate is 2.046 Mcps and user data rate is 250 kb/s. Estimate processing gain Gp = Rc/Rb.

#74. In a DSSS-CDM system, chip rate is 10 Mcps and user data rate is 64 kb/s. Estimate processing gain Gp = Rc/Rb.

#75. In a DSSS-CDM system, chip rate is 10 Mcps and user data rate is 250 kb/s. Estimate processing gain Gp = Rc/Rb.

#76. A modem uses 64-ary QAM. How many bits are conveyed per symbol?

#77. A modem uses 64-ary QAM. How many bits are conveyed per symbol?

#78. A modem uses 4-ary QAM. How many bits are conveyed per symbol?

#79. A modem uses 64-ary QAM. How many bits are conveyed per symbol?

#80. A modem uses 32-ary QAM. How many bits are conveyed per symbol?

#81. A modem uses 8-ary QAM. How many bits are conveyed per symbol?

#82. A modem uses 16-ary QAM. How many bits are conveyed per symbol?

#83. A modem uses 16-ary QAM. How many bits are conveyed per symbol?

#84. A digital link sends 4800 kb/s using 32-PSK. What is the symbol rate?

#85. A digital link sends 960 kb/s using 32-PSK. What is the symbol rate?

#86. A digital link sends 960 kb/s using 16-PSK. What is the symbol rate?

#87. A digital link sends 4800 kb/s using 32-PSK. What is the symbol rate?

#88. A digital link sends 4800 kb/s using 16-PSK. What is the symbol rate?

#89. A digital link sends 480 kb/s using 4-PSK. What is the symbol rate?

#90. A digital link sends 4800 kb/s using 32-PSK. What is the symbol rate?

#91. With raised-cosine pulse shaping, symbol rate is 1000 ksym/s and roll-off α = 0.35. Find minimum RF bandwidth.

#92. With raised-cosine pulse shaping, symbol rate is 500 ksym/s and roll-off α = 0.25. Find minimum RF bandwidth.

#93. With raised-cosine pulse shaping, symbol rate is 800 ksym/s and roll-off α = 0.5. Find minimum RF bandwidth.

#94. With raised-cosine pulse shaping, symbol rate is 500 ksym/s and roll-off α = 0.2. Find minimum RF bandwidth.

#95. With raised-cosine pulse shaping, symbol rate is 800 ksym/s and roll-off α = 0.5. Find minimum RF bandwidth.

#96. A channel has bandwidth 1000 kHz and SNR 15 dB. Using Shannon capacity, what is C?

#97. A channel has bandwidth 500 kHz and SNR 20 dB. Using Shannon capacity, what is C?

#98. A channel has bandwidth 200 kHz and SNR 18 dB. Using Shannon capacity, what is C?

#99. During a BER test, 50 bit errors occur in 5,000,000 transmitted bits. What is the measured BER?

#100. During a BER test, 200 bit errors occur in 5,000,000 transmitted bits. What is the measured BER?

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