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We may specify the equivalent noise bandwidth for design purposes but in practice, it is the composite bandwidth of all of the filters in front of the demodulator. The power that a filter can pass is a function of the area under the filter curve. The filter plot is in dB. Figure 6 Area under filter response. Calculating ENBW from Measured Data. Ideally, we calculate the 2-sided ENBW by integrating the normalized filter power frequency response curve from -infinity to infinity fs 2 to fs 2 for a digital filter sampled at a rate of fs.
For practical purposes the -60 dB BW values of the normalized filter response can be used as the limits of integration. The integration must be done in linear terms of watts or milliwatts not dB. Scattering parameters or S-parameters are a measurement of how radio frequency RF voltage propagates through an RF network. Since we are looking for bandwidth in Hertz, we do not need to know the absolute power under the curve.
S-parameters of an RF filter can easily be measured using a network analyzer. Since S-parameters are voltage related measurements, we can convert them to a power quantity by the relationship. Figure 7 Integration by summation of rectangles. We can use the magnitude of the through response S21 as the voltage term and normalize the impedance to 1 Ohm to substitute into the Power equation. This will give us a linear power term.
For our case we choose S parameters where the magnitude is in dB. The power must be converted to a linear term for our calculations. We then calculate the bandwidth using the measured S-parameter data. For the overall ENBW, we want a rectangle where the height of the rectangle is equal to the maximum power S21 2. The area of the rectangular filter is equal to the area under the filter curve. Calculate the area of the under the IF filter response curve by using numerical integration by uniform rectangles.
Find the area of each uniform rectangle by multiplying S21 2 power by the frequency step size used in the S parameter data. For a simple rectangle. Therefore, the ENBW is. Since the S21 terms are unitless we now have a result that is frequency in Hertz. The result is the bandwidth of a rectangular filter with infinite stopband rejection that passes the same amount of power as the filter that we measured S parameters.
It is this bandwidth that we will use in our calculation of the receiver noise floor kTB. We may use software to calculate a filter s ENBW. Here is a Matlab script for calculating ENBW from an. s2p s-parameter data file. Figure 8 Matlab code to calculate ENBW of a filter using s parameters. Sometimes a digital filter implemented as a lowpass filter in DSP is the narrowest filter in a given system.
Here is a Matlab script that will calculate the ENBW of a digital lowpass filter given a text file that contains the taps for the filter. Figure 9 Matlab code to calculate ENBW of a filter using FIR filter taps. Now We Can Calculate Receiver Sensitivity. We have quantities for each of the elements of the equation for receiver sensitivity. To calculate receiver sensitivity, we add the overall noise figure of the receiver to the noise floor.
This quantifies the noise floor at the input to the demodulator. The signal must be higher than the noise floor by the carrier to noise ratio required for a desired signal quality. When these things are added, the result is the power level required to meet the figure of merit for usable information referred to as Reference Sensitivity. We can calculate the sensitivity of a receiver with a 5 dB noise figure NF for analog FM in a 25 kHz channel, using the noise floor in a 10 kHz ENBW receiver that we calculated earlier.
The carrier to noise ratio required for 12 dB SINAD in an analog FM receiver with a 10 kHz ENBW is approximately 4 dB. Substitute the values into. Equation 10 as follows. Sensitivity 10 log10 kT 10000 30 dB 5 dB 4 dB. 0 dBm 5 dB 4 dB. Figure 10 Thermal Noise kTB plus NF plus C N. The sensitivity of a receiver is a function of band limited thermal noise, receiver noise figure, and the required carrier to noise ratio for a particular modulation.
The equivalent noise bandwidth refers to the amount that the noise is band limited. Receivers often contain narrow bandpass hardware filters as well as narrow lowpass filters implemented in digital signal processing DSP. Using these characteristics, we can accurately calculate sensitivity of a receiver. It is possible to estimate the ENBW, but it can be calculated from measured data or DSP filter taps.
Dennis Layne is a Senior Principal RF Engineer at Harris Corporation. Dennis has a Bachelor s of Science in Physics from Lynchburg College in Virginia and has 18 years experience designing receivers for Land Mobile Radio. The August 2020 Online Edition is now available for viewing and download. Call 866-383-3080 now to order. Residential Internet Security Tools Business Internet Security Tools Digital Marketing Web Development Custom Branding Find My Business Reputation Management My EarthLink My EarthLink My Account Support Blog Our Story Leadership Team.
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Official hotel provider for Washington Redskins, Pro Bowlers, Euroleague Basketball, PGA Tour more. Even though we do not suggest using only one indicator, if one had to, the 2-period RSI would be the indicator. By Galen Woods in Trading Setups on February 21, 2014. Larry Connors is an experienced trader and publisher of trading research. Together with Linda Raschke, he wrote the book, Street Smarts, which is a solid collection of trading strategies including the Holy Grail.
Trading Rules 2-Period RSI Strategy. What is so fantastic about the 2-period Relative Strength Index RSI that a well-regarded trader like Larry Connors would suggest it as the one indicator. Coupling an oscillator with a trend indicator is the usual approach. For instance, Connors recommended the 200-period moving average, and StockChart. com did just that in their RSI2 examples. Let s do away with a separate trend indicator, and let the 2-period RSI clue us in on the trend.
I always enjoy putting less on my charts. The 2-period RSI like the 2-period ADX is extremely sensitive. However, I added a twist to this fast oscillator. Of course, most of these overbought signals will fail because the 2-period RSI is not meant for locating significant reversals. How I Trade With Only The 2-Period RSI. We expect the 2-period RSI will give many overbought signals during an uptrend.
Apply the same logic to oversold RSI signals in bear trends to alert us to the beginning of bull trends. 2-period RSI falls below 5 Price breaks above the higher swing high that formed just before the RSI signal confirmation of bull trend 2-period RSI drops below 5 again Buy on break of the high of a bullish bar. Short Setup. 2-period RSI goes above 95 Price breaks below the lower swing low that formed just before the RSI signal confirmation of bear trend 2-period RSI rises above 95 again Buy on break of the iq option iq option iq option of a bearish bar.
To sum up, we look for two RSI signals. So, when an overbought 2-period RSI actually succeeds in pushing the market down, we know that a downtrend has begun. The first one to show us the trend, and the next one to show us trade. 2-Period RSI Trading Examples. Winning Trade RSI Oversold. This chart shows the daily prices of FDX. The lower panel shows the 2-period RSI indicator with overbought and oversold levels set at 95 and 5 respectively.
We marked it with the dotted line and observed it. Price moved up and broke the resistance level. That was our signal to look for the last higher high. The 2-period RSI oversold signal was credible. Although we did not take this oversold signal, its success confirmed that the market is now in an upward trend. Time to look for a tradeable signal. The next 2-period RSI signal came quickly as it dropped below 5 again. We bought as price gapped above the bullish bar marked with a green arrow.
It was an excellent long trade. To clarify how we figure out trend changes in this strategy, I ve marked out the RSI overbought signals that failed to push the market down in red. These failures are common in a bull trend. However, the last overbought signal circled in black sent the market down below the previous lower swing low. The market bias has changed from bullish to bearish.
Losing Trade RSI Overbought. This chart shows the 6J futures with 20-minute bars and a less rosy picture. The 2-period RSI rose above 95, and we started paying attention to the last major pivot low. 6J fell below the support level and confirmed a change of trend. We began looking for overbought signals for short trades. The RSI overbought signal came, and we shorted below the bearish inside bar.
Price stopped out our position within an hour. Compare the price action surrounding the first RSI signal in both examples. The RSI dropped below 5. The quality of the first RSI signal shows us if the impending trend change is genuine. In the winning trade, the first oversold signal was reliable, and the price rose up to break the resistance without hesitation.
It showed great bullish momentum which supported our trade. However, in the losing example, the first overbought signal did not reverse the price immediately. Instead, it rose up further to make a higher high before falling through the support level. This RSI signal is inferior. Hence, the trend change it signaled is less reliable. Review 2-Period RSI Trading Strategy. I had fun with the 2-period RSI. It is an instrumental version of RSI that you can add to your trading toolbox.
I find value in this trading tool as it highlights where price action gets interesting. Varying Indicators 2-Period ADX. The 2-period RSI finds potential short-term tipping points of the market. And according to whether the market tips or not, we form our market bias and get our trading signals. According to our trading rules, we are looking for one strong oversold signal to confirm the uptrend, before we buy the next oversold signal.
What this approach implies is that one good trade is more likely to be followed by another good trade. Statistically speaking, we are depending on the serial correlation of successful signals, a useful concept in trending markets. Our method of using the 2-period RSI to find trend changes works best when you are trying to catch the end of a well-established trend.
Larry Connors research comes with performance statistics. And the statistics of the RSI2 back-testing in his book looks excellent.