Here are two examples that show
            that the answer to this question is yes. The first 
example
            is shown on the left. This shows iSignal displaying a
            computer-generated 4000-point signal consisting of pure
            random noise, smoothed with a 19-point Gaussian smooth. The
            upper window shows a tiny slice of this signal that looks
            like a Gaussian peak with a calculated SNR over 1000. Only
            by looking at the entire signal (bottom window) do you see
            the true picture; that "peak" is just part of the noise,
            smoothed to look nice. Don't fool yourself.
The second example is a simple
              series of three Matlab commands that uses the 'randn'
              function to generate a 10000-point data set containing
              only normally-distributed white noise. Then it uses
              'fastmooth' to smooth that noise, resulting in a 'signal'
              with a standard deviation of about 0.3 and a maximum value
              around 1.0. That signal is then submitted to iPeak.
              If the peak detection criteria (e.g. AmpThreshold and
              SmoothWidth) are set too low, many peaks will be found.
              But setting the AmpThreshold to 3 times the standard
              deviation (3 x 0.3 = 0.9) will greatly reduce the
              incidence of these false peaks.
            
>> noise=randn(1,10000);
            >> signal=fastsmooth(noise,13);
            >> ipeak([1:10000;signal],0,0.6,1e-006,17,17)
           
      The peak
          identification function, which identifies
            peaks based on their exact x-axis peak position and a stored
            table of identified peak positions, is even less likely to be fooled by random
            noise, because in addition to the peak detection criteria of
            the findpeaks algorithm, any detected peak must also match
            closely to a peak position in the table of known peaks.
            
          
This page is part of "A Pragmatic Introduction to Signal
          Processing", created and maintained by Prof. Tom O'Haver ,
        Department of Chemistry and Biochemistry, The University of
        Maryland at College Park. Comments, suggestions and questions
        should be directed to Prof. O'Haver at toh@umd.edu. Updated July, 2022.