Post Detection Signal To Noise Ratio Of AM Calculator

Post Detection SNR of AM Formula:

\[ SNR_{post} = \frac{A_c^2 \cdot K_a^2 \cdot P_t}{2 \cdot N_0 \cdot BW_{tm}} \]

Amplitude of Carrier Signal (Ac):

Amplitude Sensitivity of Modulator (Ka):

Total Power (Pt):

Noise Density (N0):

Transmission Bandwidth (BWtm):

Post Detection SNR of AM:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Post Detection SNR of AM?

Post Detection SNR of AM is the ratio of recovered message power to the output noise power of the amplitude modulated wave. It measures the quality of the demodulated signal after detection in an AM system.

2. How Does the Calculator Work?

The calculator uses the Post Detection SNR of AM formula:

\[ SNR_{post} = \frac{A_c^2 \cdot K_a^2 \cdot P_t}{2 \cdot N_0 \cdot BW_{tm}} \]

Where:

\( A_c \) — Amplitude of Carrier Signal (V)
\( K_a \) — Amplitude Sensitivity of Modulator
\( P_t \) — Total Power (W)
\( N_0 \) — Noise Density (J)
\( BW_{tm} \) — Transmission Bandwidth (Hz)

Explanation: The formula calculates the signal-to-noise ratio after detection in an AM system, taking into account carrier amplitude, modulator sensitivity, total power, noise density, and transmission bandwidth.

3. Importance of Post Detection SNR Calculation

Details: Accurate Post Detection SNR calculation is crucial for evaluating the performance of AM communication systems, assessing signal quality after demodulation, and optimizing system parameters for better noise immunity.

4. Using the Calculator

Tips: Enter all values in appropriate units. Amplitude of Carrier Signal in volts, Total Power in watts, Noise Density in joules, and Transmission Bandwidth in hertz. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Post Detection SNR in AM systems?
A: Post Detection SNR indicates the quality of the recovered message signal after demodulation. Higher SNR values mean better signal quality and less noise interference.

Q2: How does carrier amplitude affect Post Detection SNR?
A: Post Detection SNR increases with the square of carrier amplitude, meaning higher carrier amplitudes result in significantly better signal-to-noise ratios.

Q3: What is the role of amplitude sensitivity in this calculation?
A: Amplitude sensitivity determines how effectively the modulating signal varies the carrier amplitude, directly impacting the Post Detection SNR.

Q4: How does transmission bandwidth affect the SNR?
A: Wider transmission bandwidth increases the noise power, which decreases the Post Detection SNR, assuming other parameters remain constant.

Q5: What are typical values for Post Detection SNR in practical AM systems?
A: Typical values range from 10 dB to 40 dB depending on system design, with higher values indicating better performance and signal quality.