Which of the following statements are correct? A. DSB‐SC modulation is well suited for point to point communication involving one transmitter and one receiver. B. VSB modulation is a linear modulation scheme. C. SSB is a non‐linear modulation scheme. D. FM is a linear modulation scheme. Choose the correct answer from the options given below:
A and B only
Modulation is the process of varying one or more properties of a periodic waveform, called the carrier wave, with a modulating signal that typically contains information to be transmitted. Different modulation schemes have unique characteristics, applications, and properties like linearity.
Let's analyze each statement given in the question about modulation schemes.
Statement A: DSB−SC modulation is well suited for point to point communication involving one transmitter and one receiver.
DSB-SC stands for Double Sideband Suppressed Carrier modulation. In DSB-SC, the carrier signal is suppressed, which means it is not transmitted along with the sidebands that contain the information. Suppressing the carrier saves significant power compared to DSB-FC (Double Sideband Full Carrier), where the carrier is transmitted. For point-to-point communication links, power efficiency is often crucial, especially over long distances or in systems with limited power resources. DSB-SC requires a synchronous demodulator at the receiver, which regenerates the carrier signal to recover the original message. In a dedicated point-to-point link, designing and implementing a sophisticated synchronous receiver is feasible and cost-effective. Therefore, DSB-SC modulation is indeed well suited for point-to-point communication where power efficiency is important and synchronous detection can be implemented. This statement is correct.
Statement B: VSB modulation is a linear modulation scheme.
VSB stands for Vestigial Sideband modulation. It is a form of amplitude modulation (AM) where one sideband is transmitted in full, and only a "vestige" or a small part of the other sideband is transmitted. This approach is a compromise between DSB (which transmits both sidebands) and SSB (which transmits only one sideband). Linear modulation schemes are those where the output modulated signal is a linear function of the input message signal. Amplitude modulation techniques like DSB-FC, DSB-SC, and VSB (even with added carrier, VSB+C) are classified as linear modulation because the process of generating the sidebands involves multiplying the carrier signal by the message signal (or a filtered version related to it), and superposition generally holds for the components derived from the message signal. VSB can be viewed as filtering a DSB signal, and filtering is a linear operation. Therefore, VSB modulation is considered a linear modulation scheme. This statement is correct.
Statement C: SSB is a non−linear modulation scheme.
SSB stands for Single Sideband modulation. It transmits only one of the sidebands. Standard classification in communication systems groups modulation schemes into linear and non-linear (angle) modulation. Linear modulation includes AM, DSB-FC, DSB-SC, SSB, and VSB. Non-linear modulation includes FM and PM. While the generation of an SSB signal might involve non-linear operations in certain methods (like the filter method which relies on frequency mixing before filtering, or the phase shift method using Hilbert transforms), the relationship between the baseband message signal and the sideband components in the frequency domain is linear. The spectrum of the SSB signal is essentially a shifted and possibly filtered version of the message signal's spectrum. Therefore, according to standard classification, SSB is considered a linear modulation scheme. This statement is incorrect.
Statement D: FM is a linear modulation scheme.
FM stands for Frequency Modulation. In FM, the instantaneous frequency of the carrier signal is varied linearly with the instantaneous amplitude of the message signal. However, the relationship between the message signal and the instantaneous amplitude of the modulated signal is not linear. FM is a type of angle modulation (which also includes Phase Modulation, PM). Angle modulation techniques like FM and PM are inherently non-linear because the output signal is not a linear function of the message signal. Superposition does not hold; the response to a sum of two messages is not the sum of the responses to individual messages. Therefore, FM is a non-linear modulation scheme. This statement is incorrect.
Based on the analysis:
The statements that are correct are A and B.
Let's consider the provided options and choose the one that states "A and B only".
The correct answer is the option corresponding to "A and B only".
| Modulation Type | Category (Linear/Non-linear) | Carrier Transmission | Efficiency Consideration | Demodulation Type | Common Applications |
|---|---|---|---|---|---|
| AM (DSB-FC) | Linear | Full Carrier | Least Power Efficient | Envelope Detector (simple), Synchronous | AM Broadcasting |
| DSB-SC | Linear | Suppressed Carrier | More Power Efficient than AM | Synchronous Detector (complex) | Point-to-Point, Stereo FM |
| SSB | Linear | Suppressed Carrier | Most Bandwidth & Power Efficient Linear Type | Synchronous Detector | Voice Communication (e.g., HF Radio) |
| VSB | Linear | Partial Carrier (VSB+C) or Suppressed (VSB-SC) | Compromise between DSB & SSB | Envelope Detector (VSB+C), Synchronous | TV Broadcasting, Digital TV, Data Transmission |
| FM | Non-linear (Angle) | Transmitted (Amplitude Constant) | Not based on Amplitude Power, but Bandwidth | Discriminator, Phase-Locked Loop | FM Broadcasting, Audio Transmission |
| PM | Non-linear (Angle) | Transmitted (Amplitude Constant) | Similar to FM | Phase Detector, PLL | Data Modems, Digital Communication |
The distinction between linear and non-linear modulation is fundamental in communication systems.
Understanding whether a modulation scheme is linear or non-linear helps determine appropriate transmitter and receiver designs, bandwidth requirements, and noise performance characteristics.
| Characteristic | Linear Modulation (e.g., DSB-SC, VSB) | Non-linear Modulation (e.g., FM) |
|---|---|---|
| Carrier Property Varied | Amplitude | Frequency or Phase (Angle) |
| Relationship to Message | Linear (roughly proportional amplitude variation) | Non-linear (frequency/phase variation) |
| Effect of Superposition | Generally holds for message components' effect on amplitude | Does not hold |
| Noise Immunity | Less immune (amplitude susceptible) | More immune (amplitude noise rejected) |
| Bandwidth Usage | Relatively bandwidth efficient (often proportional to message BW) | Often requires more bandwidth (depends on modulation index) |
| Receiver Complexity | Can be simple (envelope) or complex (synchronous) | Generally more complex (discriminator, PLL) |
During the heterodyne process in the receiver, the modulation of the signal __________
Which of the following modulations is used in India for radio transmission?
The process of superimposing message signal with the carrier wave is known as :