MATLAB SIMPLIFIED 
      Practical Programming and Signal Processing for Scientists 
          Copyright 2013 David Mann, Loggerhead Instruments 
        Table of Contents
    Getting Started ........................................................... 5 
    MATLAB .................................................................... 6 
    Launch MATLAB ........................................................ 6 
    Matrices ................................................................... 12 
    A First Program ........................................................ 14 
    Sources for MATLAB Help ....................................... 15 
        MATLAB Help File ....................................................... 15 
        Mathworks Online........................................................ 17 
    Learning to Program ................................................ 18 
    MATLAB Scripts (m-files) ......................................... 18 
    MATLAB Path .......................................................... 19 
    Fundamental Programming Constructs .................... 21 
        For Loops .................................................................... 21 
        If .................................................................................. 22 
        Relational and Logic Operators ................................... 23 
    Basic File Input ........................................................ 29 
    Matrix Manipulation .................................................. 40 
    Introduction to Time Series Analysis ........................ 52 
    Analog and Digital Signals ....................................... 52 
    Sampling Rate ......................................................... 53 
        Aliasing ........................................................................ 54 
        Avoiding Aliasing ......................................................... 56 
           Nyquist Theorem ............................................................... 56 
           Anti-Aliasing Filters ........................................................... 56 
    Sampling Resolution ................................................ 57 
        Bits .............................................................................. 57 
          Digital Resolution ......................................................... 59 
          Measurement Resolution ............................................. 59 
          Decimal Numbers ........................................................ 60 
      Reading Data Files with fread() ............................... 60 
              File Reading Example: ...................................................... 61 
      MATLAB Functions.................................................. 63 
          RMS ............................................................................. 63 
          Using RMS Example .................................................... 65 
      Fourier Transform .................................................... 67 
          Measuring Amplitudes of Specific Frequencies ........... 75 
          Determining Peak Amplitude and Frequency ............... 75 
          Additional Details ......................................................... 76 
      Digital Filters ............................................................ 77 
      Finite Impulse Response (FIR) Filters ..................... 78 
          What about the end bits? ............................................. 81 
          Visualizing the frequency response of the filter ............ 81 
          More Reason to ♥ MATLAB! ........................................ 83 
      Infinite Impulse Response (IIR) Filters ..................... 84 
          Try This ........................................................................ 87 
          How Do IIR Filters Work? ............................................ 88 
      Automatic Signal Detection...................................... 90 
      Energy Detectors ..................................................... 90 
          Energy Detection in the Time Domain ......................... 90 
      Energy Detector Example ........................................ 91 
              Step 1.  Filter the signal .................................................... 92 
              Step 2. Rectify Signal ........................................................ 93 
              Step 3.  Envelope Signal ................................................... 94 
              Step 4. Threshold Signal ................................................... 94 
              find ..................................................................................... 96 
      Image Processing .................................................... 97 
          Basic MATLAB Image Functions ................................. 97 
      Creating and plotting an image ................................ 98 
              Plotting the Matrix as an Image ......................................... 99 
              Colormap ......................................................................... 100 
          Try This ...................................................................... 105 
   Loading and Manipulating an Image ...................... 105 
   Thresholding Images ............................................. 107