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Rule of thumbs
Property
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Having a way of obtaining quick estimates for some design parameter is very useful in engineering, especially during the early stages of a project/design. These estimates help you make quick design decision and adjust your design if your estimate indicates that a certain direction is too risky or will cost too much.
I often hear these quick estimates being called Rule of thumbs. For example:
If I decide to rent my property in Edinburgh/UK, how much should I ask for rent?
We can create a rule of thumbs for that! Let's say we have the following information about Edinburgh, UK:
The average property value in Edinburgh is Β£303,416
Average rent per calendar month is Β£1,191 (or 14,292 per year)
From this, we can create the following rule of thumbs:
Β£14,292Β£303,416β‹…100=4.71%\frac{Β£14,292}{Β£303,416}\cdot 100 = 4.71\%
Therefore, on average, the annual rent value is 4.7% of the property value. We can then say that a rule of thumb is to ask for approximately 5% of your property value (per year).
Now, let’s apply this rule. If your property is worth Β£200,000 pounds, an average rent value to ask per month would be (4.71% of Β£200,000)/12 = Β£785. You can then start with this value as a reference and adjust it as you get more information and progresses with your plan of renting the house.
Number of FIR taps
Now, let’s say you are in the middle of a design meeting, and you want to know quickly if you could use a FIR filter in your data path to solve your problem. The key question is:
How many taps will the FIR filter need to meet the specification?
When I was reading Richard Lyons book (Understanding Digital Signal Processing), I came across the following quick estimate formula for the number of taps of a FIR filter:
Nfirtapsβ‰ˆAtten22(fstopβˆ’fpass)N_{firtaps} \approx \frac{Atten}{22(f_{stop}-f_{pass})}
Where:
Atten is the attenuation in the stopband measured in dB
Fstop and Fpass: Stopband and Passband frequencies normalised to the sample rate.
From this equation, given the specs, you can check very quickly if a FIR filter could be used or if you need to look for alternatives (if the number of taps is too high!).