This book is written for those students that have a data set in the form of a time series and are confronted with the problem of how to analyse this data. Each chapter covers the various methods that can be used to carry out this analysis with coverage of the necessary theory and its application. In the theoretical section topics covered include; the mathematical origin of spectrum windows, leakage of variance and understanding spectrum windows. The applications section includes real data sets for students to analyse. Scalar variables are used for ease of understanding for example air temperatures, wind speed and precipitation.
Students are encouraged to write their own computer programmes and data sets are provided to enable them to recognize quickly whether their programme is working correctly- one data set is provided with artificial data and the other with real data where the students are required to physically interpret the results of their periodgram analysis.
Based on the acclaimed and long standing course at the University of Oklahoma and part of the RMetS Advancing Weather and ClimateScience Series, this book is distinct in its approach to the subject matter in that it is written specifically for readers in meteorology and climatology and uses a mix of theory and application to real data sets.
Keywords: ix; statistical properties; periodogram; important topics; fourier; appendix; sum; complex exponentials appendix; distribution; variances; harmonic; equation; derivation; integral; analog; data; transforms; delta; frequency; convolution