You might want to look at Birsong, Speech and Language (Bolhuis and Everaert, 2013). There's a number of nice pieces in that book and I'd recommend reading ten Cate et al.s' chapter 12: "Analyzing the Structure of Bird Vocalizations and Language: Finding Common Ground", where they discuss a variety of techniques.
Best regards - Marie
Bolhuis, J. J., and Everaert, M. (2013). Birdsong, speech, and language : exploring the evolution of mind and brain (MIT Press, Cambridge, Mass.).
Another pertinent reference for your question is the following paper:
Kershenbaum A, Blumstein DT, Roch MA, Akcay Ç, Backus G, Bee MA, Bohn K, Cao Y, Carter G, Caesar C, Coen M, DeRuiter SL, Doyle L, Edelman S, Ferrer-i-Cancho R, Freeberg TM, Garland EC, Gustison M, Harley HE, Huetz C, Hughes M, Bruno JH, Ilany A, Jin DZ, Johnson M, Ju C, Karnowski J, Lohr B, Manser MB, McCowan B, Mercado E, III, Narins PM, Piel A, Rice M, Salmi R, Sasahara K, Sayigh L, Shiu Y, Taylor C, Vallejo EE, Waller S, Zamora-Gutierrez V (2016) Acoustic sequences in non-human animals: a tutorial review and prospectus. Biological Reviews 91: 13-52. doi: 10.1111/brv.12160.