Normalized frequency (digital signal processing)
Adjusted note:
Hello there! Would you like me to tell you in simple terms what is meant by "normalized frequency" in digital signal processing (DSP)? Imagine that you're a music-loving five-year-old kid, and I'm a grown-up trying to explain this to you. Here's my attempt:
When we talk about sound or music, we can think of it as waves that move through the air. In digital signal processing, we deal with a special kind of sound wave that has been turned into a bunch of numbers on a computer. These numbers tell us things like how loud the sound is at a certain moment, or what the pitch of the sound is.
Now, sometimes we want to look at this sound wave in a different way. Instead of focusing on specific numbers, we want to look at the "shape" of the wave, how it changes over time. But we can't just use the same units we use for numbers, like 1, 2, 3, etc. Instead, we use a special kind of unit called "cycles per sample", or Hz/sample for short.
This is where normalized frequency comes in. Normalized frequency just means that we take our Hz/sample value and divide it by something. What do we divide it by? We divide it by a number that tells us how often we sample the sound wave. Think of it like taking a picture of a moving object - if you take pictures more often, you'll get a better idea of how it's moving. Similarly, if we sample the sound wave more often, we'll get a better idea of its shape.
So, when we normalize our frequency, we're kind of "zooming out" and looking at the relative frequency of the sound wave compared to how fast we're sampling it. We can use this normalized frequency to do things like filter out certain frequencies or analyze the shape of the wave more easily.
Does that make sense? Let me know if you have any questions!
Hello there! Would you like me to tell you in simple terms what is meant by "normalized frequency" in digital signal processing (DSP)? Imagine that you're a music-loving five-year-old kid, and I'm a grown-up trying to explain this to you. Here's my attempt:
When we talk about sound or music, we can think of it as waves that move through the air. In digital signal processing, we deal with a special kind of sound wave that has been turned into a bunch of numbers on a computer. These numbers tell us things like how loud the sound is at a certain moment, or what the pitch of the sound is.
Now, sometimes we want to look at this sound wave in a different way. Instead of focusing on specific numbers, we want to look at the "shape" of the wave, how it changes over time. But we can't just use the same units we use for numbers, like 1, 2, 3, etc. Instead, we use a special kind of unit called "cycles per sample", or Hz/sample for short.
This is where normalized frequency comes in. Normalized frequency just means that we take our Hz/sample value and divide it by something. What do we divide it by? We divide it by a number that tells us how often we sample the sound wave. Think of it like taking a picture of a moving object - if you take pictures more often, you'll get a better idea of how it's moving. Similarly, if we sample the sound wave more often, we'll get a better idea of its shape.
So, when we normalize our frequency, we're kind of "zooming out" and looking at the relative frequency of the sound wave compared to how fast we're sampling it. We can use this normalized frequency to do things like filter out certain frequencies or analyze the shape of the wave more easily.
Does that make sense? Let me know if you have any questions!
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