Serious backup options for linux disk (dmcrypt, luks, ext4, ext3, btrfs) normal and encrypted system

**Disk/Partition Backup** What are the backup options and good practice to make a solid and easy to use full system backup? With the following requirement: - Live backup - Image backup - Encrypted backup - Incremental backups - Mount/access the backup disk/files easily - Full system backup, restorable in one shot - Can be scheduled automatically (with cron or else) - Encrypted or classic backup source (luks, dm-crypt, ext3/ext4/btrfs).