Data-Signal-Processing.pptx

Data Signal Processing Signal to Noise Ratio Presented By: Adrian C. Pajo What is Signal to Noise Ratio? SNR, or signal-to-noise ratio, basically tells you how clear a signal is. Signal to Noise Ratio Formula  SNR = Psignal/Pnoise = µ/σ where Psignal denotes the signal’s p...

Data Signal Processing Signal to Noise Ratio Presented By: Adrian C. Pajo What is Signal to Noise Ratio? SNR, or signal-to-noise ratio, basically tells you how clear a signal is. Signal to Noise Ratio Formula  SNR = Psignal/Pnoise = µ/σ where Psignal denotes the signal’s power, the population mean Pnoise denotes the power of noise, the standard deviation of data MEAN µ = SUM OF ALL DATA POINTS / NUMBER OF DATA POINTS FOR STANDARD DEVIATION( σ) What is a Good SNR Value? Whether or not you have a good SNR value depends on what type of signal you’re working with. Generally speaking, you want as high an SNR value as possible. Here’s a basic rundown: Below 10 dB: Basically unusable, the noise overpowers the signal. 10 dB to 15 dB: Barely there, connection might drop frequently. 15 dB to 25 dB: Not great, but you might be able to browse slowly. 25 dB to 40 dB: Good connection, reliable for most things. 41 dB or higher: Excellent connection, perfect for streaming and gaming. Properties of SNR 1.Measure of Quality: SNR is a key metric for assessing the quality of a signal in relation to background noise. 2. Dimensionless Quantity: SNR is expressed as a ratio of signal power to noise power, making it a dimensionless quantity. 3. Non-negative Value: SNR values are non-negative, as the signal power must always be greater than or equal to the noise power for a meaningful comparison. 4. Dependence on Signal Strength: SNR depends on the strength or amplitude of the signal of interest. 5. Influence on Performance: SNR directly influences the performance of communication systems and signal processing applications. 6. Effect on Detection Threshold: In detection and estimation tasks, SNR determines the threshold for reliably detecting and distinguishing the signal from noise. 7.Trade-off with Bandwidth: SNR is often considered alongside bandwidth in communication systems. Increasing bandwidth can improve SNR by allowing more signal power to be transmitted, but it can also increase noise, leading to a trade-off between bandwidth and SNR. How to Calculate Signal to Noise Ratio? Sample 1: you measure a radio signal with a strength of -10 dB and a noise signal of -50 dB. -10 - (-50) = 40 dB 40 dB being the SNR. Quite a good signal- to-noise ratio! Sample 2: Find the SNR of the data set: 1, 4, 7, 8, 10. Sample 2: Find the SNR of the data set: 1, 4, 7, 8, 10. : FORMULA SNR = Psignal / Pnoise Sample 2: Find the SNR of the data set: 1, 4, 7, 8, 10. FORMULA: SNR = Psignal / Pnoise Psignal = µ µ = = SUM OF ALL DATA POINTS / NUMBER OF DATA POINTS Mean = (1+4+7+8+10)/ 5 Mean = 30/5 Mean = 6 Psignal = 6 Sample 2: Find the SNR of the data set: 1, 4, 7, 8,Pnoise 10. = Pnoise = Pnoise = Pnoise = Pnoise = 3.16 SNR = 6/3.16 SNR = 1.89 THANK YOU!  https://www.geeksforgeeks.org/signal-to-noise- ratio-formula/ Reference https://www.wilsonamplifiers.com/blog/what-is- snr-and-how-does-it-affect-your-signal